Answered

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√180m^2
I have to solve this using perfect squares, is anyone familiar with those?

Sagot :

Given:

The expression is

[tex]\sqrt{180m^2}[/tex]

To find:

The value of the given expression by using the perfect squares.

Solution:

We have,

[tex]\sqrt{180m^2}[/tex]

It can be written as

[tex]=\sqrt{2\times 2\times 3\times 3\times 5\times m^2}[/tex]

[tex]=\sqrt{(2)^2(3)^25m^2}[/tex]

[tex]=\sqrt{(2\times 3\times m)^25}[/tex]

[tex]=\sqrt{(6m)^25}[/tex]

[tex]=6m\sqrt{5}[/tex]

Therefore, the value of given expression is [tex]6m\sqrt{5}[/tex].

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