Question Detail

What is the square root of 0.16

0.4
0.04
0.004
4

Answer: Option A

Explanation:

as .4 * .4 = 0.16

1. The largest four digit number which is a perfect cube, is:

7000
8000
9261
9999

Answer: Option C

Explanation:

21*21*21 = 9261

2. Evaluate $\begin{aligned} \sqrt[3]{\sqrt{.000064}} \end{aligned}$

0.0002
0.002
0.02
0.2

Answer: Option D

Explanation:

$\begin{aligned} = \sqrt{.000064} \end{aligned}$
$\begin{aligned} = \sqrt{\frac{64}{10^6}} \end{aligned}$
$\begin{aligned} = \frac{8}{10^3} = .008 \end{aligned}$
$\begin{aligned} = \sqrt[3]{.008} \end{aligned}$
$\begin{aligned} = \sqrt[3]{\frac{8}{1000}} \end{aligned}$
$\begin{aligned} = \frac{2}{10} = 0.2 \end{aligned}$

3. Evaluate
$\begin{aligned} \sqrt[3]{4\frac{12}{125}} \end{aligned}$

$\begin{aligned} 1\frac{2}{5} \end{aligned}$
$\begin{aligned} 1\frac{3}{5} \end{aligned}$
$\begin{aligned} 1\frac{4}{5} \end{aligned}$
1

Answer: Option B

Explanation:

$\begin{aligned} = \sqrt[3]{\frac{512}{125}} \end{aligned}$
$\begin{aligned} = (\frac{8*8*8}{5*5*5})^{\frac{1}{3}} \end{aligned}$

$\begin{aligned} = \frac{8}{5} = 1\frac{3}{5} \end{aligned}$

4. Evaluate
$\begin{aligned} \sqrt{1\frac{9}{16}} \end{aligned}$

$\begin{aligned} 1\frac{1}{6} \end{aligned}$
$\begin{aligned} 1\frac{1}{5} \end{aligned}$
$\begin{aligned} 1\frac{1}{4} \end{aligned}$
$\begin{aligned} 1\frac{1}{3} \end{aligned}$

Answer: Option C

Explanation:

$\begin{aligned} = \sqrt{\frac{25}{16}} \end{aligned}$

$\begin{aligned} = \frac{\sqrt{25}}{\sqrt{16}} \end{aligned}$

$\begin{aligned} = \frac{5}{4} \end{aligned}$

$\begin{aligned} = 1\frac{1}{4} \end{aligned}$

5. if a = 0.1039, then the value of
$\begin{aligned} \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}$

12.039
1.2039
11.039
1.1039

Answer: Option D

Explanation:

Tip: Please check the question carefully before answering. As 3a is not under the root we can convert it into a formula , lets evaluate now :

$\begin{aligned} = \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}$

$\begin{aligned} = \sqrt{(1)^2 + (2a)^2 - 2x1x2a} + 3a \end{aligned}$

$\begin{aligned} = \sqrt{(1-2a)^2} + 3a \end{aligned}$

$\begin{aligned} = (1-2a) + 3a \end{aligned}$

$\begin{aligned} = (1-2a) + 3a \end{aligned}$

$\begin{aligned} = 1 + a = 1 + 0.1039 = 1.1039 \end{aligned}$