Question

Find the smallest number by which 3549 must be divided so that the quotient may be a perfect square . Also find the square root of the quotient​

Answer 1

Answer:

13

Step-by-step explanation:

by prime factorisation we get

3549 =

$3549 \div 3 = 1183 \div 7 = 169 \div 13 = 13 \div 13 = 1$

here 7 and 3 have no pair so 3549 must be divided by 7*3= 21 to get a perfect square.

3549/21= 169

square root of 169 is

169= 13*13

169√ = 13

Answer 2

Step-by-step explanation:

First we will find the LCM of 3549=3*7*(13)^2

the smallest number which should be divided by 3549 is 3*7=21

3549÷21

=169

square root of 169 is 13

therefore the smallest number by which 3549 must be divided is 13.

hope this helps you

please mark me brainliest