Evaluate \(\frac{8 - 11}{\sqrt{\frac{25}{121}}}\).

121 25 ​ ​ 8 − 11 ​ = 121 25 ​ ​ − 3 ​ = ( − 3 ) : 121 25 ​ ​ = ( − 3 ) : 121 ​ 25 ​ ​ = ( − 3 ) : 11 5 ​ = ( − 3 ) ⋅ 5 11 ​ = = − 5 33 ​ = − 6 5 3 ​

Answered by Lilith | 2024-06-10

The expression 8 - 11 to the square root of 25/121 simplifies to 3 after taking the square root of the fraction and performing the subtraction

To evaluate the expression 8 - 11 to the square root of 25/121, we start by addressing the square root. The square root of 25/121 simplifies to 5/11 after taking the square root of both the numerator and the denominator. We can then rewrite the expression as 8 - (11 * 5/11). The 11s will cancel each other out, leaving us with 8 - 5, which equals 3.
Therefore, the final answer is 3

Answered by SravyaDa | 2024-06-24

The expression 121 25 ​ ​ 8 − 11 ​ evaluates to − 5 33 ​ or − 6 5 3 ​ . This is obtained by first calculating the numerator and the square root in the denominator, and then combining the results. The final simplified answer is − 5 33 ​ .
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Answered by Lilith | 2024-12-18