Trigonometry Examples

Evaluate (8( square root of 9))/(2 square root of 72)
Step 1
Cancel the common factor of and .
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Step 1.1
Factor out of .
Step 1.2
Cancel the common factors.
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 2
Combine and into a single radical.
Step 3
Cancel the common factor of and .
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Step 3.1
Factor out of .
Step 3.2
Cancel the common factors.
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 4
Rewrite as .
Step 5
Any root of is .
Step 6
Simplify the denominator.
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Step 6.1
Rewrite as .
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Step 6.1.1
Factor out of .
Step 6.1.2
Rewrite as .
Step 6.2
Pull terms out from under the radical.
Step 7
Simplify terms.
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Step 7.1
Cancel the common factor of .
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Step 7.1.1
Factor out of .
Step 7.1.2
Factor out of .
Step 7.1.3
Cancel the common factor.
Step 7.1.4
Rewrite the expression.
Step 7.2
Combine and .
Step 8
Multiply by .
Step 9
Combine and simplify the denominator.
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Step 9.1
Multiply by .
Step 9.2
Raise to the power of .
Step 9.3
Raise to the power of .
Step 9.4
Use the power rule to combine exponents.
Step 9.5
Add and .
Step 9.6
Rewrite as .
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Step 9.6.1
Use to rewrite as .
Step 9.6.2
Apply the power rule and multiply exponents, .
Step 9.6.3
Combine and .
Step 9.6.4
Cancel the common factor of .
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Step 9.6.4.1
Cancel the common factor.
Step 9.6.4.2
Rewrite the expression.
Step 9.6.5
Evaluate the exponent.
Step 10
Cancel the common factor of .
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Step 10.1
Cancel the common factor.
Step 10.2
Divide by .
Step 11
The result can be shown in multiple forms.
Exact Form:
Decimal Form: