Trigonometry Examples

Rationalize the Denominator ( square root of 7)/( square root of 8k)
Step 1
Simplify the denominator.
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Step 1.1
Rewrite as .
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Step 1.1.1
Factor out of .
Step 1.1.2
Rewrite as .
Step 1.1.3
Add parentheses.
Step 1.2
Pull terms out from under the radical.
Step 2
Multiply by .
Step 3
Combine and simplify the denominator.
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Step 3.1
Multiply by .
Step 3.2
Move .
Step 3.3
Raise to the power of .
Step 3.4
Raise to the power of .
Step 3.5
Use the power rule to combine exponents.
Step 3.6
Add and .
Step 3.7
Rewrite as .
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Step 3.7.1
Use to rewrite as .
Step 3.7.2
Apply the power rule and multiply exponents, .
Step 3.7.3
Combine and .
Step 3.7.4
Cancel the common factor of .
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Step 3.7.4.1
Cancel the common factor.
Step 3.7.4.2
Rewrite the expression.
Step 3.7.5
Simplify.
Step 4
Simplify the numerator.
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Step 4.1
Combine using the product rule for radicals.
Step 4.2
Multiply by .
Step 5
Multiply by .