SAT square root question

SAT square root question

Postby Math Tutor » Thu Jul 14, 2022 7:08 am

[tex]\sqrt{20}-\sqrt{5}=[/tex]

Answers:
(A) $\sqrt{15}$
(B) $\sqrt{10}$
(C) $\sqrt{5}$
(D) $\sqrt{2.5}$
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Re: SAT square root question

Postby red12dog34 » Fri Jul 15, 2022 12:34 am

[tex]\displaystyle\sqrt{20}=\sqrt{2^2\cdot 5}=2\sqrt{5}[/tex]
[tex]\sqrt{20}-\sqrt{5}=2\sqrt{5}-\sqrt{5}=\sqrt{5}[/tex]
The answer is (C).

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Re: SAT square root question

Postby mycalsuite » Tue Sep 16, 2025 12:01 pm

√20 - √5=?
√20= √4.5= 2√5
√20 - √5= 2√5 - √5 = (2-1)√5 = √5

The correct answer is C √5.

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