Question

find the smallest number by which each of the given number should be divided so that quotient is a perfect square 3645​

Answer 1

Step-by-step explanation:

The required smallest number by which 3645 must be multiplied to get a perfect square is 5.so we have to divide the no. by 5 to have a perfect square. if we will divide it by 5 we will obtain the sq. of 27(729).

Answer 2

Answer:

Prime factors of 3645= 3×3×3×3×3×3×5

we observe that prime factor does not form any pair .

so 5 is the smallest no. by which given should be divided.

therefore,

=3645/5

= 729

prime factors of 729 = 3×3×3×3×3×3

= 3×3×3

= 27.

square root of 729 8s 27.

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