Question

Simplify : √900 + √0.09 + √0.000009

Answer 1

Answer:

30.303

Step-by-step explanation:

Given :

We are given an Expression :

$\sqrt{900}+\sqrt{0.09}+\sqrt{0.000009}$

To Find :

We have to simplify the Given Expression

Solution :

According to the given expression

= $\sqrt{900}+\sqrt{0.09}+\sqrt{0.000009}$

= $\sqrt{9 \ \text{x} \ 10^2}+\sqrt{9\ \text{x} \ 10^{-2}}+\sqrt{9\ \text{x} \ 10^{-6}}$

since we know that $\sqrt{9}=3$

= $3\ \text{x} \ 10+3\ \text{x} \ 10^{-1}+3\ \text{x} \ 10^{-3}$

= $30+0.3+0.003$

= $30.303$

Hence by simplifying the expression we get 30.303

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Answer 2

Answer:

30.303 is the required answer

Explanation:

Given that, $\sqrt{900} + \sqrt{0.09} + \sqrt{0.000009}$

As we know that, 900 = 9 × $10^ 2$ = 9 × 100

0.09 can be written as, $\frac{9}{100}$ = 9 × $10^{-2}$

And $\sqrt{0.000009}$ can be written as, $\frac{9}{1000000}$ = 9 × $10^{-6}$

So, $\sqrt{900} + \sqrt{0.09} + \sqrt{0.000009}$ can be written as,

$\sqrt{9.10^2} + \sqrt{9 . 10^{-2}} + \sqrt{9.10^{-6}}$

⇒ 3 × 10 + 3 × $10^{-1}$ + 3 × $10^{-3}$

⇒ 30 + 0.3 + 0.003

⇒ 30.303

Final answer:

Hence, 30.303 is the required answer we get after simplify$\sqrt{900} + \sqrt{0.09} + \sqrt{0.000009}$

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