Question
Simplify the following (write your answer as a fraction or a decimal). \[ (0,81)^{\frac{1}{2}} \]
Ask by Brooks Simpson. in South Africa
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\frac{9}{10}
\]
Solution
We start with the given expression:
\[
(0.81)^{\frac{1}{2}}
\]
This means we need to find the square root of \(0.81\).
Notice that:
\[
0.81 = \frac{81}{100}
\]
Taking the square root, we have:
\[
\sqrt{0.81} = \sqrt{\frac{81}{100}} = \frac{\sqrt{81}}{\sqrt{100}} = \frac{9}{10}
\]
So, the simplified form of \((0.81)^{\frac{1}{2}}\) is:
\[
\frac{9}{10}
\]
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Simplify this solution The Deep Dive
The expression \( (0.81)^{\frac{1}{2}} \) represents the square root of 0.81. When you calculate this, you find that: \[ (0.81)^{\frac{1}{2}} = \sqrt{0.81} = 0.9 \] So the simplified form of \( (0.81)^{\frac{1}{2}} \) is \( 0.9 \) or, as a fraction, it can also be expressed as \( \frac{9}{10} \).
