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

Step-by-step explanation:

The given expression : $\sqrt{0.36}$

This can be written as :

$\sqrt{\dfrac{36}{100}}$

According to the Quotient property of radicals:

$\sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$=\dfrac{\sqrt{36}}{\sqrt{100}}$  

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

$=\dfrac{\sqrt{6^2}}{\sqrt{10^2}}$  

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

Then, $=\dfrac{\sqrt{6^2}}{\sqrt{10^2}}=\dfrac{6}{10}=0.6$  

Hence , the correct answer is 0.6 .