CPM Homework Help : CC3MN Problem 9-66

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9-66.

Identify the following numbers as rational or irrational. If the number is rational, show that it can be written as a fraction.

$\sqrt { 36 }$
Hint (a):
Is there a whole number that can be squared to get 36?
Answer (a):
$\sqrt{36} = 6 = \frac{6}{1}$
Is this number rational?

$0.\overline{62}$
Hint (b):
Use the method you learned earlier to convert this number to a fraction.
More Help (b):
$.\overline{62}$ has two repeating digits, so you put them over $99$ .
Answer (b):
$\frac{62}{99}$
Is this number rational?

$\sqrt { 92 }$
Hint (c):
Is the square root of $92$ a whole number, a terminating decimal, or a repeating decimal?

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