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If x = 0.888, y = 0.888^(1/2), and z = (0.888)^2, then which of the fo

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If x = 0.888, y = 0.888^(1/2), and z = (0.888)^2, then which of the fo  [#permalink]

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26 Aug 2018, 04:58
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If $$x = 0.888$$, $$y = \sqrt{0.888}$$, and $$z = (0.888)^2$$, then which of the following is true?

(A) x < y < z

(B) x < z < y

(C) y < x < z

(D) y < z < x

(E) z < x < y

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Re: If x = 0.888, y = 0.888^(1/2), and z = (0.888)^2, then which of the fo  [#permalink]

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26 Aug 2018, 07:14
Bunuel wrote:
If $$x = 0.888$$, $$y = \sqrt{0.888}$$, and $$z = (0.888)^2$$, then which of the following is true?

(A) x < y < z

(B) x < z < y

(C) y < x < z

(D) y < z < x

(E) z < x < y

$$y = \sqrt{x}$$

$$z = x^2$$

Lets tax approx values to check -

Let $$x = 0.81$$ ,

So, $$y = 0.90$$ & $$z = 0.65$$

Thus, we have $$z < x < y$$ , Answer must be (E)
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Re: If x = 0.888, y = 0.888^(1/2), and z = (0.888)^2, then which of the fo  [#permalink]

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26 Aug 2018, 12:09
Bunuel wrote:
If $$x = 0.888$$, $$y = \sqrt{0.888}$$, and $$z = (0.888)^2$$, then which of the following is true?

(A) x < y < z

(B) x < z < y

(C) y < x < z

(D) y < z < x

(E) z < x < y

Note: when we square a fraction , The fraction becomes smaller and when we square root the fraction it becomes larger.

All the x , y , z have fraction 0.888.

Thus , y is the largest , x is larger and z is lowest.

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Joined: 08 Jul 2018
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Re: If x = 0.888, y = 0.888^(1/2), and z = (0.888)^2, then which of the fo  [#permalink]

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03 Sep 2018, 08:08
another way of doing it is to square every number:

so x^2=(0.888)^2
y^2= 0.888
z^2=(0.888)^4
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Re: If x = 0.888, y = 0.888^(1/2), and z = (0.888)^2, then which of the fo  [#permalink]

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07 Sep 2018, 16:11
Bunuel wrote:
If $$x = 0.888$$, $$y = \sqrt{0.888}$$, and $$z = (0.888)^2$$, then which of the following is true?

(A) x < y < z

(B) x < z < y

(C) y < x < z

(D) y < z < x

(E) z < x < y

Since squaring a decimal value that is between 0 and 1 makes it smaller and since taking the square root of such a decimal makes it larger, we have:

z < x < y

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If x = 0.888, y = 0.888^(1/2), and z = (0.888)^2, then which of the fo  [#permalink]

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07 Sep 2018, 17:58
Bunuel wrote:
If $$x = 0.888$$, $$y = \sqrt{0.888}$$, and $$z = (0.888)^2$$, then which of the following is true?

(A) x < y < z

(B) x < z < y

(C) y < x < z

(D) y < z < x

(E) z < x < y

Under pressure, a test taker can get confused easily about number properties. Testing a number is a smart way to be sure.

We do not have to assess 0.888 ($$=\frac{888}{1,000}$$)

Proper fractions (between 0 and 1) and their decimal equivalents all behave the same way.

Make life easy. Choose a different fraction, one that has an easy square root
Let
$$x=\frac{1}{4}$$
$$y =\sqrt{\frac{1}{4}}=\frac{1}{2}$$
$$z=(\frac{1}{4})^2=\frac{1}{16}$$

$$z$$ is the smallest. Only one answer is available (and $$z<x<y$$)

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If x = 0.888, y = 0.888^(1/2), and z = (0.888)^2, then which of the fo   [#permalink] 07 Sep 2018, 17:58
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