YES! We solved the question! Check the full answer on App Gauthmath 3646 to get a number divisible by 3 (what is the smallest number which should be (i) subtract from and (ii)added to: )
 No Note: If you divide 3646 by 3, you get 1215.33 which is not a whole number.Divisible by 3? Do you need to check another number? Enter a number below to see if it is divisible by 3.
Question 2 Squares and Square Roots Exercise 3.5 Next
Answer:
(i) 2361 ∴ 57 has to be subtracted from 2361 to get a perfect square. (ii) 194491 By using long division method ∴ 10 has to be subtracted from 194491 to get a perfect square. (iii) 26535 By using long division method ∴ 291 has to be subtracted from 26535 to get a perfect square. (iv) 161605 ∴ 1 has to be subtracted from 161605 to get a perfect square. (v) 4401624 By using long division method ∴ 20 has to be subtracted from 4401624 to get a perfect square.
Video transcript "hello dear student i am sunita nair from dido learning and i am here to help you solve this sum which says find the least number which must be subtracted from the following numbers to make them a perfect square all right so these are the numbers right now i'm going to put my answers in this column here right i put a dash as you can see so correspondingly we put the answers there and it is nice that a dash it also signifies the number to be minus right minus minus minus okay so let's start now i've made these uh division lines for each for each sum so the first one will be here so the second will be here the third will come here the fourth will be here and the fifth and last will be here all right so let's start right away you've got lots to do so the first number is two three six one now as you know by division method when we do it we have to start pairing the numbers from the right towards the left so 61 goes as a parent 23 as a first pair so now i have got to find a number whose square is less than 23 so i think i'll go with four four fours are 16 and i have a remainder of seven here i bring down the 61 right now i double the quotient and i look for a number so that [Music] the number formed by placing a number here by placing a number here and here right the product of this number and this number should be less than 761. so i will choose 8 so i have 4 so 8 into 88 gives me 704 all right you can multiply it out at leisure and see and i have a remainder of 57 right so my first answer is the number to be subtracted from 2 3 6 1 to make it a perfect square is 57 if i remove the remainder you know if the remainder is removed then it becomes a perfect square all right let's do the second one the second number is 1 9 4 4 9 1 right so it's 1 lakh 94 491 so again we start pairing from the right going towards the left and we are we have these pairs so now i've got to find the square of a number less than 19. again four fits the bill four fours are sixteen i have a remainder of three i bring down the next pair of numbers forty-four meanwhile i also double this quotient now i've got to look for a number such that the product of the number i place here and here right the product of this number with 80 something should give me a number less than 344 so that number will be it will be 4 right so i have 4 into 84 gives me 336. i do my subtraction i get a remainder of 8 i bring down the next pair 91 i double the 4 here so i get 8 again and 88 and i need a number which can only be 1 because 1 into 881 gives me 881 and my remainder is 10. so 10 is the number that has to be subtracted from one lakh ninety four thousand four ninety one to make it a perfect square my third sum is two six five three five two six five three five i start pairing the numbers and i'm left with two on its own so one one will fit the bill one ones are one the remainder is one i bring down the next pair of numbers 65 i double this so my number which will work if i put it here and here right the product of the number formed by these two numbers 2 and the new number and the number here the product formed by these two numbers should be less than 165 right so i can think of the number um 3 or more than 3 right what would that number be that number would be six so six sixes are 36 six twos are 12 and 3 15. so my remainder is 9 here and i bring down 35 i double 20 i double the 6 here and i get 32 right and now what number would fit in it would be 2 2 into 322 because if i put 3 it will be too much so 2 into 322 gives me 644 and i get a remainder of 291 right so 291 is a number that has to be subtracted from 26535 let's go to the fourth sum the fourth sum says one lakh sixty one thousand six hundred and five again i pair the numbers from the right towards the left there are six digits so three pairs of numbers so here i have four working out four fours are sixteen no remainder zero remainder i bring down the next pair of numbers 16 i double the quotient 8 so only 0 will fit in here because 0 into z 80 will give me 0 because even if i put 1 it will be 1 into 81 which is way more than this 16 here right i need something less than 16 okay so my remainder is 16 i bring down the next two digits 0 5 80 remains as it is so i look for that number which will work out so that number will be 2 because 2 into 802 gives me a number less than one six zero five in fact it gives me one six zero four with a remainder of one right so the remainder is one so the number that should be subtracted from one six one zero five to make it a perfect square is just one all right and the last number is 444 lakhs 1000 624 right so again i start pairing the digits from the extreme right and i get it like this so 2 fits in here 2 2's are 4 no remainder i bring down the 40. double my quotient i get 4 so 0 0 is fine because even 1 will be too much not too much it will be 1 more right will become 41 and we need something less than 40. so i have 0 here because 0 into 40 0 remainder is 40 i bring down 16 40 remains as it is and the number here is nine right so nine nines are 81 and nine fours are 36 so i do the subtraction i get 5 here and 3 here and another 3 here i bring down the next two digits 24 i also double the 9 here and i get 18 and 4 so what is the digit which will work it is 8 so 4 188 multiplied by 8 gives me 8 8 are 64 4 carry 6 8 8 are 64 and 6 70 0 carry 7 8 ones are 8 and 7 15 8 4s are 32 and 1 33 so the difference is 20 so i need to subtract 20 from the last number to make it a perfect square so these are my answers i hope you understood the working of the problem please drop a comment in the comment section and visit our channel regularly for more homework solutions subscribe if you find it useful thank you"
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What is the smallest number which should be subtracted from and added to 3646 to get a number divisible by 3?
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