Question

\boxed{ \rm{ \pink{ \displaystyle \: QUESTION....}}}

By what number must we multiply
`\boxed{162}` to make it a perfect square.​

Answer 1

2

Explanation:

`\\ \rm\Rrightarrow √(162)`

`\\ \rm\Rrightarrow √(2* 3* 3* 3* 3)`

• 4 3's are there which will cancel out of root over

Now there is one 2 left .

We need another 2

So we get

`\\ \rm\Rrightarrow 2(3)(3)`

• That perfect square is 18^2=324

Answer 2

`\pink{ \rm{SOLUTION:-}}`

`\pink{ \rm{Here,}}`

`\boxed{162}` can be a perfect square if the factor
`\boxed{2}` is a paired.

Hence,
`\boxed{162×2}`,will be a perfect square.

`: \implies{324 = {3}^(2) * {3}^(2) * {2}^(2) }`

Hence,the square root is
`3×3×2,i.e. 18`

`{\rm{162 \: must \: be \: multiplied \: by \: 2 \: to \: make \: it \: a \: perfect \: square.}}`