Trigonometry Examples

Evaluate - square root of 1/2*(1-5/6)
Step 1
Simplify the expression.
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Step 1.1
Write as a fraction with a common denominator.
Step 1.2
Combine the numerators over the common denominator.
Step 1.3
Subtract from .
Step 2
Multiply by .
Step 3
Multiply by .
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
Multiply by .
Step 8
Combine and simplify the denominator.
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Step 8.1
Multiply by .
Step 8.2
Move .
Step 8.3
Raise to the power of .
Step 8.4
Raise to the power of .
Step 8.5
Use the power rule to combine exponents.
Step 8.6
Add and .
Step 8.7
Rewrite as .
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Step 8.7.1
Use to rewrite as .
Step 8.7.2
Apply the power rule and multiply exponents, .
Step 8.7.3
Combine and .
Step 8.7.4
Cancel the common factor of .
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Step 8.7.4.1
Cancel the common factor.
Step 8.7.4.2
Rewrite the expression.
Step 8.7.5
Evaluate the exponent.
Step 9
Multiply by .
Step 10
The result can be shown in multiple forms.
Exact Form:
Decimal Form: