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tiny-mole [99]
4 years ago
15

What is the simplified version of the square root of 64/9?

Mathematics
2 answers:
ASHA 777 [7]4 years ago
7 0

\sqrt{ \frac{64}{9} } =  \frac{8}{3}
kramer4 years ago
3 0

You can distribute square roots between numerator and denominator:

\sqrt{\dfrac{64}{9}} = \dfrac{\sqrt{64}}{\sqrt{9}}

Now, the square root of a number y is a number x such that x^2 = y

So, \sqrt{64} is a number that, when squared, gives 64. This number is 8, since 8^2 = 64

For the same reason, \sqrt{9}=3

So, you have

\sqrt{\dfrac{64}{9}} = \dfrac{\sqrt{64}}{\sqrt{9}} = \dfrac{8}{3}

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