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# If 1/x = 0.25^(1/2), what does x equal?

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Math Expert
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If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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04 Mar 2018, 22:20
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Difficulty:

5% (low)

Question Stats:

90% (00:39) correct 10% (00:38) wrong based on 80 sessions

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If $$\frac{1}{x} = \sqrt{0.25}$$, what does x equal?

(A) 0.2
(B) 0.5
(C) 2
(D) 5
(E) 20

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Math Expert
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Posts: 53066
Re: If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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04 Mar 2018, 22:50
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If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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05 Mar 2018, 04:52
Bunuel wrote:
If $$\frac{1}{x} = \sqrt{0.25}$$, what does x equal?

(A) 0.2
(B) 0.5
(C) 2
(D) 5
(E) 20

Given: $$\frac{1}{x} = \sqrt{0.25}$$

Squaring on both sides, we get $$\frac{1}{x^2} = 0.25$$ -> $$x^2 = \frac{1}{0.25} = \frac{100}{25} = 4$$

Therefore, x = $$\sqrt{4}$$ = 2(Option C)
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Re: If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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05 Mar 2018, 05:54
Bunuel wrote:
If $$\frac{1}{x} = \sqrt{0.25}$$, what does x equal?

(A) 0.2
(B) 0.5
(C) 2
(D) 5
(E) 20

$$\frac{1}{x} = \sqrt{0.25}$$

Or, $$\frac{1}{x} = \sqrt{\frac{25}{100}}$$

Or, $$\frac{1}{x} = \frac{5}{10}$$

So, $$\frac{1}{x} = 0.50$$, Answer must be (B)
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Re: If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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06 Mar 2018, 10:21
Bunuel wrote:
If $$\frac{1}{x} = \sqrt{0.25}$$, what does x equal?

(A) 0.2
(B) 0.5
(C) 2
(D) 5
(E) 20

We can solve for x:

1/x = √0.25

1/x = 0.5

1 = 0.5x

1/0.5 = x

2 = x

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Re: If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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06 Mar 2018, 10:47
Abhishek009 wrote:
Bunuel wrote:
If $$\frac{1}{x} = \sqrt{0.25}$$, what does x equal?

(A) 0.2
(B) 0.5
(C) 2
(D) 5
(E) 20

$$\frac{1}{x} = \sqrt{0.25}$$

Or, $$\frac{1}{x} = \sqrt{\frac{25}{100}}$$

Or, $$\frac{1}{x} = \frac{5}{10}$$

So, $$\frac{1}{x} = 0.50$$, Answer must be (B)

Answer must be C not B
1/x^2=25/100
1/x=1/2
x=2
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Re: If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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06 Mar 2018, 10:56
Abhishek009 wrote:
$$\frac{1}{x} = \sqrt{0.25}$$

Or, $$\frac{1}{x} = \sqrt{\frac{25}{100}}$$

Or, $$\frac{1}{x} = \frac{5}{10}$$

So, $$\frac{1}{x} = 0.50$$, Answer must be (B)

Hey Abhishek009 ,

You did everything correct but the last step.

We are asked to determine x not 1/x. Hence, answer must be 2 i.e
C
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Re: If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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06 Mar 2018, 11:06
0.25 = 1/4
^ 1/2 = sqrt(everything that is raised to this power)
(1/2)^1/2 = sqrt(1/4) = 1/2
1/x = 1/2
x=2
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If 1/x = 0.25^(1/2), what does x equal?  [#permalink]

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11 Mar 2018, 03:54
Bunuel wrote:
If $$\frac{1}{x} = \sqrt{0.25}$$, what does x equal?

(A) 0.2
(B) 0.5
(C) 2
(D) 5
(E) 20

Given: $$\frac{1}{x} = \sqrt{0.25}$$

Question : x =?

$$\frac{1}{x^2}$$ = $$\frac{25}{100}$$

$$\frac{1}{x^2}$$ = $$\frac{1}{4}$$

$$x^2$$= 4

x =$$\sqrt{4}$$

x = 2

(C)
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If 1/x = 0.25^(1/2), what does x equal?   [#permalink] 11 Mar 2018, 03:54
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