Question

√ 0.36 is _____. 0.6 0.06 1.8 0.18

Answer 1

√ 0.36 is _____. 0.6 0.06 1.8 0.18

√0.36 = 0.6

(0.6 * 0.6 = 0.36)

Answer 2

Answer: 0.6

Explanation:

The given expression :
`√(0.36)`

This can be written as :

`\sqrt{(36)/(100)}`

According to the Quotient property of radicals:

`\sqrt[n]{(a)/(b)}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}`

`=(√(36))/(√(100))`

Here 36 and 100 both are square numbers ∵
`36=6^2` and
`100=10^2` , then our expression becomes

`=(√(6^2))/(√(10^2))`

Also, property of radicals says :
`\sqrt[n]{a^n}=a`

Then,
`=(√(6^2))/(√(10^2))=(6)/(10)=0.6`

Hence , the correct answer is 0.6 .