Question

2. Find the least no. by which 294 must be multiplied to make it a perfect square?
Why we multiply 2*3....how could you say it is a perfect square

Answer 1

Hello,

so first you will have to factor the number out first,

294=2x3x7x7,

which is 2x3x7^2,

let's make it 7^2=49,

which then the number 2 and 3 is left,

which 2x3=6 and then,

6x294=1764, which then,

when you wanted to make it a perfect square, then which the square root of 1764 is 42,

so 42 makes it a perfect square.

your answer is 42.