Which of the following is equal to 75 + 2 3?

Free Practice Question

PS · Problem Solving

sub-505

Roots

Which of the following is equal to $\sqrt{75} + 2\sqrt{3}$ ?

Correct answer marked below

3\sqrt{3}

5\sqrt{3}

7\sqrt{3}

Correct

8\sqrt{3}

9\sqrt{3}

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Explanation

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Comments

GaganMay 19

thanks!

KshitizJun 27

Wait, I don't understand how to do this. I know you're supposed to simplify something but I'm not sure how to do that...

EshanJun 30

You just find the largest perfect square that goes into 75, then pull it out of the radical. Try it!

AkshithOct 2

kinda forgot how to simplify radicals ngl

What this question tests

Your handling of square and higher roots, including simplifying radicals.

Forgetting the ± when taking a square root to solve an equation, or assuming √(a²) = a.