\boxed{ \rm{ \pink{ \displaystyle \: QUESTION....}}}
By what number must we multiply [tex]\boxed{162}[/tex] to make it a perfect square.​

Respuesta :

Answer:

[tex] \pink{ \rm{SOLUTION:-}}[/tex]

[tex] \pink{ \rm{Here,}}[/tex]

[tex]\boxed{162}[/tex] can be a perfect square if the factor [tex]\boxed{2}[/tex] is a paired.

Hence,[tex]\boxed{162×2}[/tex],will be a perfect square.

[tex]: \implies{324 = {3}^{2} \times {3}^{2} \times {2}^{2} }[/tex]

Hence,the square root is [tex]3×3×2,i.e. 18[/tex]

[tex]{\rm{162 \: must \: be \: multiplied \: by \: 2 \: to \: make \: it \: a \: perfect \: square.}}[/tex]

Answer:

2

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow \sqrt{162}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{2\times 3\times 3\times 3\times 3}[/tex]

  • 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

[tex]\\ \rm\Rrightarrow 2(3)(3)[/tex]

  • That perfect square is 18^2=324