Question

the squre root of which number is rational
a]7
b]1.96
c]0.04
d]13

Answer 1

Hey mate here is your answer..

A. 7= 7

B. 1.96= 196/100

C. 0.04= 4/100

D. 13= 13

So, the option B and C became the square root in rational number.

Hope it is helpful for you... So, Mark my ans as brianliest answer...

Answer 2

Given:

Four values in the option are 7, 1.96, 0.04, 13.

To find:

The square root of which of the number from given options is a rational number=?

Solution:

Rational numbers are those which can be written in decimal as well as a fractional form of the numerator by denominator or any form a/b where b is not zero.

Let us verify each number in the option.

a) 7

=> $\sqrt{7}$ = 2.6457.. (It is non-terminating value)

=> Therefore it is an irrational number.

b) 1.96

=>  $\sqrt{1.96}$ = 1.4 (It is terminating value)

=> It can also be written as $\frac{14}{10}$ = $\frac{7}{5}$ = a/b form

=> It is a rational number.

c) 0.04

=>  $\sqrt{0.04}$ = 0.02 (It is terminating value)

=> It can also be written as $\frac{2}{100}$= $\frac{1}{50}$ = a/b form

=> It is a rational number.

d) 13

=> $\sqrt{13}$ = 3.6055.. (It is non-terminating value)

=> Therefore it is an irrational number.

Hence, the square root of 1.96 (option b) and 0.04 (option c) are rational numbers.