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The quantity (6.4*10^7)^(1/2). equals which of the following?

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Bunuel
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The quantity (6.4*10^7)^(1/2). equals which of the following? [#permalink] New post   24 Oct 2019, 01:37
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The quantity \(\sqrt{6.4*10^7}\). equals which of the following?

(A) 800
(B) 3,200
(C) 4,000
(D) 8,000
(E) 80,000
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D
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Mohammadmo
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Re: The quantity (6.4*10^7)^(1/2). equals which of the following? [#permalink] New post   24 Oct 2019, 02:33
√64×10^6=8×10³=8000

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Re: The quantity (6.4*10^7)^(1/2). equals which of the following? [#permalink] New post   24 Oct 2019, 02:48
Simplify the term : \(\sqrt{64 * 10^6}\)

On Solving we get : \(8 * 10^3 = 8000\)

Option D it is!
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Re: The quantity (6.4*10^7)^(1/2). equals which of the following? [#permalink] New post   26 Oct 2019, 09:05
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Bunuel wrote:
The quantity \(\sqrt{6.4*10^7}\). equals which of the following?

(A) 800
(B) 3,200
(C) 4,000
(D) 8,000
(E) 80,000



We can change the expression to read:

√(64 x 10^6) = √64 x √(10^6) = 8 x 10^3 = 8 x 1000 = 8000

Answer: D
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Re: The quantity (6.4*10^7)^(1/2). equals which of the following? [#permalink] New post   26 Oct 2019, 10:36
Bunuel wrote:
The quantity \(\sqrt{6.4*10^7}\). equals which of the following?

(A) 800
(B) 3,200
(C) 4,000
(D) 8,000
(E) 80,000

\(\sqrt{6.4*10^7}\)

\(=\sqrt{\frac{64}{10}*10^7}\)

\(=\sqrt{64*10^6}\)

\(=\sqrt{8^2*10^6}\)

\(= 8*10^3\)

\(= 8000\), Answer must be (D)
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Re: The quantity (6.4*10^7)^(1/2). equals which of the following? [#permalink]
26 Oct 2019, 10:36
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