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[2(2a^(1/2))^2=

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[2(2a^(1/2))^2=  [#permalink]

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New post 20 Mar 2020, 23:17
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A
B
C
D
E

Difficulty:

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Question Stats:

90% (00:21) correct 10% (00:28) wrong based on 39 sessions

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\((2\sqrt{2a})^2=\)

(A) \(4a\)

(B) \(4a^2\)

(C) \(8a\)

(D) \(8a^2\)

(E) \(6a\)

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Re: [2(2a^(1/2))^2=  [#permalink]

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New post 21 Mar 2020, 05:14
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Top Contributor
SajjadAhmad wrote:
\((2\sqrt{2a})^2=\)

(A) \(4a\)

(B) \(4a^2\)

(C) \(8a\)

(D) \(8a^2\)

(E) \(6a\)


If \(k \geq 0\), then \((\sqrt{k})^2 =k\)

\((xy)^n = (x^n)(y^n)\)

Given: \((2\sqrt{2a})^2\)
Apply the above property to get: \((2^2)(\sqrt{2a})^2\)
Apply the other property to get: \((4)(2a)\)
Simplify to get: \(8a\)

Answer: C

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[2(2a^(1/2))^2=  [#permalink]

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New post 21 Mar 2020, 07:48

Solution



To find
We need to determine
    • The value of the given expression \((2\sqrt{2a})^2\)

Approach and Working out
Squaring the expression inside the bracket, we get
    • \((2\sqrt{2a})^2 = (2)^2 * (\sqrt{2a})^2 = 4 * 2a = 8a\)

Thus, option C is the correct answer.

Correct Answer: Option C
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[2(2a^(1/2))^2=   [#permalink] 21 Mar 2020, 07:48

[2(2a^(1/2))^2=

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