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aleksley [76]
3 years ago
14

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

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
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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