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\[ \sqrt{16+16}= \]

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by M7MBA » Thu Jun 14, 2018 11:25 pm

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Answers

A

B

C

D

E

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Difficulty—

$$\sqrt{16+16}=$$ (A) 4√2
(B) 8√2
(C) 16√2
(D) 8
(E) 16

The OA is the option A.

Why is A the correct answer? Could anyone show me how to get that answer? Please.
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by Vincen » Fri Jun 15, 2018 12:20 am
Hello M7MBA.

Let's take a look at this question.

We have to rewrite the given expression to get one of the answer choices. We can do that as follows: $$\sqrt{16+16}=\sqrt{16\left(1+1\right)}=\sqrt{16\cdot2}=\sqrt{16}\cdot\sqrt{2}=4\sqrt{2}.$$ Thus we get that the correct asnwer is the option A.

I hope this helps you.
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by Brent@GMATPrepNow » Fri Jun 15, 2018 5:06 am
M7MBA wrote:$$\sqrt{16+16}=$$ (A) 4√2
(B) 8√2
(C) 16√2
(D) 8
(E) 16
Useful rule: √(xy) = (√x)(√y)

So, √(16 + 16) = √(32)
= √(16 x 2)
= √16 x √2
= 4 x √2
= 4√2

Answer: A

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Brent
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by Brent@GMATPrepNow » Fri Jun 15, 2018 5:09 am
Brent@GMATPrepNow wrote:
M7MBA wrote:$$\sqrt{16+16}=$$ (A) 4√2
(B) 8√2
(C) 16√2
(D) 8
(E) 16
Useful rule: √(xy) = (√x)(√y)

So, √(16 + 16) = √(32)
= √(16 x 2)
= √16 x √2
= 4 x √2
= 4√2

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Jeff@TargetTestPrep » Sun Jun 24, 2018 5:03 pm
M7MBA wrote:$$\sqrt{16+16}=$$ (A) 4√2
(B) 8√2
(C) 16√2
(D) 8
(E) 16
√(16 + 16) = √32 = √16√2 = 4√2

Answer: A

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