Question

The square root of which of the following numbers is rotional ?0.14,7,13,1.96

Answer 1

Answer:

The correct answer is 1.96

because√1.96=1.4 and 1.4 is a rational number.

Answer 2

The square root of 1.96 is a rational number.

Step-by-step explanation:

1. Square root of 0.14

$\sqrt{0.14}=\sqrt{\frac{14}{100}}=\frac{\sqrt{14}}{\sqrt{100}}=\frac{\sqrt{14}}{10}$

We know that $\sqrt{14}$ is a irrational number and 10 is a rational number.

Ratio of irrational and rational number is a irrational number.

So

$\sqrt{0.14}$  is a irrational number.

2.  Square root of 7

$\sqrt{7}$   is a irrational number.

3.  Square root of 13

$\sqrt{13}$   is a irrational number.

4. Square root of 1.96

$\sqrt{1.96}=\sqrt{\frac{196}{100}}=\frac{\sqrt{196}}{\sqrt{100}}=\frac{14}{10}=1.4$

Here we see that value of  $\sqrt{1.96}$ is terminate.

So

$\sqrt{1.96}$  is a rational number.