Questions: Simplify the following expression. [ -sqrtfrac8149 ]

Simplify the following expression.
[
-sqrtfrac8149
]
Transcript text: Simplify the following expression. \[ -\sqrt{\frac{81}{49}} \]
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Solution

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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 \[ \boxed{-\frac{9}{7}} \]

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