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# How to calculate (5√3)² ?

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Intern
Joined: 15 Oct 2017
Posts: 28
Schools: Northeastern '20
How to calculate (5√3)² ?  [#permalink]

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30 Dec 2017, 13:28
Hello everyone,

I would to know how to calculate (5√3)²

Intern
Joined: 15 Oct 2017
Posts: 28
Schools: Northeastern '20
Re: How to calculate (5√3)² ?  [#permalink]

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30 Dec 2017, 13:30
I also see that (3√3)² = 27 but I can't figure out how to make the calculation
Manhattan Prep Instructor
Joined: 04 Dec 2015
Posts: 629
GMAT 1: 790 Q51 V49
GRE 1: Q170 V170
Re: How to calculate (5√3)² ?  [#permalink]

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30 Dec 2017, 13:31
thegame12 wrote:
Hello everyone,

I would to know how to calculate (5√3)²

Sure thing!

5√3 is basically a product of two values. It's 5 times √3.

When you square a product of two values, you square both of the values. For example, $$(xy)^2$$ equals $$x^2y^2$$.

So, to square 5√3, you square the 5 and the √3.

$$(5^2)(\sqrt{3}^2)$$

$$(25)(3)$$

$$75$$
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Joined: 02 Sep 2009
Posts: 49858
Re: How to calculate (5√3)² ?  [#permalink]

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30 Dec 2017, 13:35
thegame12 wrote:
Hello everyone,

I would to know how to calculate (5√3)²

$$(ab)^n=a^n*b^n$$.

$$(5\sqrt{3})^2=5^2*(\sqrt{3})^2=25*3=75$$
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Re: How to calculate (5√3)² ? &nbs [#permalink] 30 Dec 2017, 13:35
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