Question

2. Find the least no. by which 294 must be multiplied to make it a perfect square?

Answer 1

294 = 147 * 2 = 3 * 49 * 2 = 3 * 2 * 7^2

if you multiply 294 with  3 * 2 then it will be a perfect square (of 2 * 3 * 7)

Answer 2

Answer:

Least number by which 294 must be multiplied to make it a perfect square is 6.

Step-by-step explanation:

Given : Number 294.

To find : The least number by which 294 must be multiplied to make it a perfect square?

Solution :

First we factor the number 294,

$294=2\times 3 \times 7 \times  7$

To make it a perfect square each number has their pair.

As 2 and 3 are singles.

So, We need to multiply it by 2 and 3 i.e. 6

So, Least number by which 294 must be multiplied to make it a perfect square is 6.

As $294\times 6=2^2\times 3^2 \times 7^2$

$1764=(2\times 3\times 7)^2$

$1764=(42)^2$