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Evaluate the expression:
[tex]\[ -\sqrt{\frac{64}{25}} \][/tex]

Sagot :

GinnyAnswer
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].
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