Simplify- -900 - -0-09 - -0-000009

We know that √((ab)) = √(a)× nbsp;√(b) √(900) = √((9 × 100)) = √(9)×√(100) = 3 × 10 = 30 √(0.09) = √((0.3 × 0.3)) = 0.3 √(0.000009) = √((0.003 × 0.003)) = ...

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Byju's Answer

Standard X

Mathematics

Number Theory: Interesting Results

Simplify: √90...

Question

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

30.303

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3.033

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30.033

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3.303

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Solution

The correct option is A $30.303$
We know that $\sqrt{(a b)} = \sqrt{a} \times \sqrt{b}$

$\sqrt{900} = \sqrt{(9 \times 100)} = \sqrt{9} \times \sqrt{100} = 3 \times 10 = 30$

$\sqrt{0.09} = \sqrt{(0.3 \times 0.3)} = 0.3$

$\sqrt{0.000009} = \sqrt{(0.003 \times 0.003)} = 0.003$

$\sqrt{900} + \sqrt{0.09} + \sqrt{0.000009} = 30 + 0.3 + 0.003 = 30.303$

So, option (d) is correct.

Suggest Corrections

Simplify: √900+√0.09+√0.000009

The correct option is A 30.303We know that √(ab)=√a×√b √900=√(9×100)=√9×√100=3×10=30 √0.09=√(0.3×0.3)=0.3 √0.000009=√(0.003×0.003)=0.003 √900+√0.09+√0.000009=30+0.3+0.003=30.303 So, option (d) is correct.

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