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# What is the value of ((64)^(1/2)))^(1/2)?

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Math Expert
Joined: 02 Sep 2009
Posts: 51035
What is the value of ((64)^(1/2)))^(1/2)?  [#permalink]

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03 Jul 2018, 08:22
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00:00

Difficulty:

5% (low)

Question Stats:

88% (00:22) correct 12% (00:25) wrong based on 40 sessions

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What is the value of $$\sqrt{\sqrt{64}}$$?

A. $$2\sqrt{2}$$

B. 4

C. $$4\sqrt{2}$$

D. 16

E. 32

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Joined: 02 Aug 2009
Posts: 7095
Re: What is the value of ((64)^(1/2)))^(1/2)?  [#permalink]

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03 Jul 2018, 10:32
Bunuel wrote:
What is the value of $$\sqrt{\sqrt{64}}$$?

A. $$2\sqrt{2}$$

B. 4

C. $$4\sqrt{2}$$

D. 16

E. 32

$$\sqrt{\sqrt{64}}$$=$$\sqrt{\sqrt{8^2}}$$=$$\sqrt{8}=\sqrt{2^2*2}=2\sqrt{2}$$

A
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Re: What is the value of ((64)^(1/2)))^(1/2)?  [#permalink]

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03 Jul 2018, 10:55
Bunuel wrote:
What is the value of $$\sqrt{\sqrt{64}}$$?

A. $$2\sqrt{2}$$

B. $$4$$

C. $$4\sqrt{2}$$

D. $$16$$

E. $$32$$

$$64 = 2^6$$

$$\sqrt{\sqrt{64}}=((64)^{\frac{1}{2}})^{\frac{1}{2}}=(2^{6})^{\frac{1}{4}}=(2)^{\frac{6}{4}}=(2)^{\frac{3}{2}}=\sqrt{2^{2} * 2} = 2\sqrt{2}$$

Alternative A
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What is the value of ((64)^(1/2)))^(1/2)?  [#permalink]

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03 Jul 2018, 13:43
Bunuel wrote:
What is the value of $$\sqrt{\sqrt{64}}$$?

A. $$2\sqrt{2}$$

B. 4

C. $$4\sqrt{2}$$

D. 16

E. 32

Given,

$$\sqrt{\sqrt{64}}$$

=$$\sqrt{8}$$

=2$$\sqrt{2}$$

Note:

64 =$$8^2$$

8 = $$2^2$$*2

Thus the best answer is A.
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Re: What is the value of ((64)^(1/2)))^(1/2)?  [#permalink]

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04 Jul 2018, 07:43
Bunuel wrote:
What is the value of $$\sqrt{\sqrt{64}}$$?

A. $$2\sqrt{2}$$

B. 4

C. $$4\sqrt{2}$$

D. 16

E. 32

$$\sqrt{\sqrt{64}}$$

Or, $$\sqrt{8}$$

Or, $$2\sqrt{2}$$, Answer must be (A)
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Abhishek....

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Re: What is the value of ((64)^(1/2)))^(1/2)? &nbs [#permalink] 04 Jul 2018, 07:43
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