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Question

# Without using a calculator, find: a) $\sqrt{225}$ b) $\sqrt{0.01}$ c) $\sqrt{0.81}$ d) $\sqrt{\frac{9}{25}}$ e) $\sqrt{5 \frac{4}{9}}$ f) $\sqrt{2 \frac{23}{49}}$

Solution

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Step 1
1 of 3

$\textbf{a)}$

$\sqrt{225}$

Rewrite number as exponent:

$= \sqrt{15^{2}}$

Apply square root rules:

$= \boxed{\color{#c34632}{15}}$

$\textbf{b)}$

$\sqrt{0.01}$

Rewrite number as an exponent:

$= \sqrt{(0.1)^{2}}$

Apply square root rules:

$= \boxed{\color{#c34632}{0.1}}$

$\textbf{c)}$

$\sqrt{0.81}$

Rewrite number as an exponent:

$= \sqrt{(0.9)^{2}}$

Apply square root rules:

$= \boxed{\color{#c34632}{0.9}}$

$\textbf{d)}$

$\sqrt{\dfrac{9}{25}}$

Rewrite number as an exponent:

$= \sqrt{\left(\dfrac{3}{5}\right)^{2}}$

Apply square root rules:

$= \boxed{\color{#c34632}{\dfrac{3}{5}}}$

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