Answered

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simplify the radical expression below[tex] \sqrt{ \frac{3}{64} } [/tex]

Sagot :

Answer

[tex]=\frac{\sqrt{3}}{8}[/tex]

Explanation

Given

[tex]\sqrt{\frac{3}{64}}[/tex]

In order to simplify the radical, we can rewrite as follows:

[tex]\sqrt{\frac{3}{64}}=\frac{\sqrt{3}}{\sqrt{64}}[/tex]

√3 cannot be further simplified as it is a prime number, however, √64 can be by finding its factors:

[tex]64=8\cdot8=8^2[/tex]

Then, we can replace the factors in the root:

[tex]=\frac{\sqrt{3}}{\sqrt{8^2}}[/tex]

Finally, we get:

[tex]=\frac{\sqrt{3}}{8}[/tex]

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