Question

find the smallest number by which 432 should be multiplied to get a perfect square​

Answer 1

Answer:

3

Step-by-step explanation:

By doing the prime factorization of 432 ,here the factor 3 is without pair.if 3 was in a pair the number 432 would be a perfect square so 3 is to be multiplied with the number 432 to get a perfect square

Answer 2

$\sf{\huge{\underline{\pink{Given :-}}}}$

• 432 should be multiplied by smallest number to get a perfect square .

$\sf{\huge{\underline{\purple{To\:Find :-}}}}$

• The smallest number.

$\sf{\huge{\underline{\green{Solution :-}}}}$

Let the smallest number be x

We have given,

432 should be multiplied by smallest number to get a perfect square .

_2_|__432_

_2_|_216___

_2_|__108__

_2_|__54__

_3_|__27__

_3_|__9___

_3_|__3___

__|___1__

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

➝ 2 × 2 × 3 ×3

➝ 4 × 9

➝ 36

The perfect square

➝ 36 × 36

➝ 1296

Let the smallest number be x

432 × x = 1296

➝ x = $\cancel{\dfrac{1296}{432}}$

➝ x = 3

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