Question

Find the least number by which 22932 must be multiplies or divided so as to make it a perfect square

Answer 1

hope this helps you............

Answer 2

The least number by which 22932 must be multiplies or divided so as to make it a perfect square is 13.

Step-by-step explanation:

To find : The least number by which 22932 must be multiplies or divided so as to make it a perfect square ?

Solution :

First we factories the number,

$22932= 2\times 2\times3\times3\times7\times 7 \times13$

$22932= 2^2\times3^2\times7^2 \times13$

So, if we multiply or divide equation by 13 it make a perfect square.

1) Multiply the equation by 13,

$22932\times 13= 2^2\times3^2\times7^2 \times13^2$

$298116= (2\times3\times7 \times13)^2$

$298116= (546)^2$

2) Divide the equation by 13,

$\frac{22932}{13}=\frac{2^2\times3^2\times7^2 \times13}{13}$

$1764= (2\times3\times7)^2$

$1764= (42)^2$

Therefore, the least number by which 22932 must be multiplies or divided so as to make it a perfect square is 13.

#Learn more

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