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b) [tex]-\sqrt{\frac{64}{25}}[/tex]
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Response:
b) [tex]-\sqrt{\frac{64}{25}}[/tex]



Answer :

GinnyAnswer
Sure! To solve [tex]\( -\sqrt{\frac{64}{25}} \)[/tex], let's break it down into detailed steps:

1. Understand the Problem:
We need to simplify the expression [tex]\( -\sqrt{\frac{64}{25}} \)[/tex].

2. Calculate the Square Root of the Fraction:
First, find the square root of the fraction [tex]\(\frac{64}{25}\)[/tex].

[tex]\[ \sqrt{\frac{64}{25}} \][/tex]

3. Simplify the Fraction:
To simplify [tex]\(\sqrt{\frac{64}{25}}\)[/tex], we take the square root of the numerator and the denominator separately.

[tex]\[ \sqrt{\frac{64}{25}} = \frac{\sqrt{64}}{\sqrt{25}} \][/tex]

4. Calculate the Square Roots Individually:
- The square root of 64 is 8.
- The square root of 25 is 5.

So, we have:

[tex]\[ \frac{\sqrt{64}}{\sqrt{25}} = \frac{8}{5} \][/tex]

5. Simplify the Fraction:
Now, simplify [tex]\(\frac{8}{5}\)[/tex]:

[tex]\[ \frac{8}{5} = 1.6 \][/tex]

6. Apply the Negative Sign:
Finally, apply the negative sign in front of the square root:

[tex]\[ -\sqrt{\frac{64}{25}} = -1.6 \][/tex]

Therefore, the final result is:
[tex]\[ -\sqrt{\frac{64}{25}} = -1.6 \][/tex]

Intermediate and simplified results:
[tex]\[ \sqrt{\frac{64}{25}} = 1.6, \quad -\sqrt{\frac{64}{25}} = -1.6 \][/tex]

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