The Exact Form of a Radical

Algebra Level 2

Which of the following is equal to

3 × 8 3 \frac{ \sqrt{ 3 \times 8 } } { \sqrt{3 } }

72 \sqrt{72} 2 2 2 \sqrt{2} 4 4 24 / 3 \sqrt{24} / 3

W Tyson by W Tyson , 18, USA

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1 solution

W Tyson
Dec 10, 2017

√24 / √3 can be written as √24/3 , which is equal to √8, which can be simplified to 2√2 (by dividing 8 by 4, then taking the √4)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

It is known as "simplifying" in some places. I don't think it's ever known as "exact form". As such, the answer of 8 \sqrt{8} should also be correct.

Those who answered 8 \sqrt{8} have been marked correct. I have removed that option.

Calvin Lin Staff - 3 years, 5 months ago

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