Questions: Simplify the following expression.
[
-sqrtfrac8149
]
Transcript text: Simplify the following expression.
\[
-\sqrt{\frac{81}{49}}
\]
Solution
Solution Steps
To simplify the given expression, we need to take the square root of the fraction and then apply the negative sign. The square root of a fraction can be found by taking the square root of the numerator and the denominator separately.
Step 1: Calculate the Square Roots
We start by calculating the square roots of the numerator and denominator separately:
\[
\sqrt{81} = 9 \quad \text{and} \quad \sqrt{49} = 7
\]
Step 2: Form the Fraction
Next, we form the fraction using the results from Step 1:
\[
\frac{\sqrt{81}}{\sqrt{49}} = \frac{9}{7}
\]
Step 3: Apply the Negative Sign
Finally, we apply the negative sign to the fraction:
\[
-\frac{9}{7} \approx -1.2857
\]
Final Answer
The simplified expression is
\[
\boxed{-\frac{9}{7}}
\]