Sure! Let's solve the expression step-by-step:
1. Calculate the Fraction:
[tex]\[
\frac{64}{25}
\][/tex]
The fraction [tex]\(\frac{64}{25}\)[/tex] when divided gives:
[tex]\[
\frac{64}{25} = 2.56
\][/tex]
2. Calculate the Square Root:
Next, we need to find the square root of the fraction calculated above:
[tex]\[
\sqrt{2.56}
\][/tex]
The square root of 2.56 is:
[tex]\[
\sqrt{2.56} = 1.6
\][/tex]
3. Apply the Negative Sign:
Finally, we apply the negative sign to the square root obtained:
[tex]\[
-\sqrt{2.56} = -1.6
\][/tex]
Thus, the value of [tex]\(-\sqrt{\frac{64}{25}}\)[/tex] is [tex]\(-1.6\)[/tex].
