Trigonometry Examples

Evaluate square root of 1/2*(1-8/17)
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
Simplify the numerator.
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Step 5.1
Rewrite as .
Step 5.2
Pull terms out from under the radical, assuming positive real numbers.
Step 6
Multiply by .
Step 7
Combine and simplify the denominator.
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Step 7.1
Multiply by .
Step 7.2
Raise to the power of .
Step 7.3
Raise to the power of .
Step 7.4
Use the power rule to combine exponents.
Step 7.5
Add and .
Step 7.6
Rewrite as .
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Step 7.6.1
Use to rewrite as .
Step 7.6.2
Apply the power rule and multiply exponents, .
Step 7.6.3
Combine and .
Step 7.6.4
Cancel the common factor of .
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Step 7.6.4.1
Cancel the common factor.
Step 7.6.4.2
Rewrite the expression.
Step 7.6.5
Evaluate the exponent.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: