1. Part A: Use the properties of exponents to explain why 64^1/2 is called the square root of 64.

2 answers:

8 0

A: When you multiply two numbers, their exponents add.
So, $64^{\frac{1}{2}} * 64^{\frac{1}{2}} = 64^{\frac{1}{2} + \frac{1}{2}} = 64^{1} = 64$

Since 64^1/2 multiplied by itself is 64, then it is the square root of 64.

B: The area is irrational. 7 * √7 is irrational.

Setler79 [48]3 years ago

4 0

1.
64^1/2 * 64^1/2 = 64^(1/2 + 1/2) = 64^1 = 64

2. Area = l * w = 7 * √7 = 7√7

√7 is irrational so 7√7 is irrational also

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