Trigonometry Examples

Evaluate square root of (1-(-8/( square root of 113)))/2
Step 1
Multiply by .
Step 2
Combine and simplify the denominator.
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Step 2.1
Multiply by .
Step 2.2
Raise to the power of .
Step 2.3
Raise to the power of .
Step 2.4
Use the power rule to combine exponents.
Step 2.5
Add and .
Step 2.6
Rewrite as .
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Step 2.6.1
Use to rewrite as .
Step 2.6.2
Apply the power rule and multiply exponents, .
Step 2.6.3
Combine and .
Step 2.6.4
Cancel the common factor of .
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Step 2.6.4.1
Cancel the common factor.
Step 2.6.4.2
Rewrite the expression.
Step 2.6.5
Evaluate the exponent.
Step 3
Multiply .
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Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 4
Write as a fraction with a common denominator.
Step 5
Combine the numerators over the common denominator.
Step 6
Multiply the numerator by the reciprocal of the denominator.
Step 7
Multiply .
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Step 7.1
Multiply by .
Step 7.2
Multiply by .
Step 8
Rewrite as .
Step 9
Multiply by .
Step 10
Combine and simplify the denominator.
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Step 10.1
Multiply by .
Step 10.2
Raise to the power of .
Step 10.3
Raise to the power of .
Step 10.4
Use the power rule to combine exponents.
Step 10.5
Add and .
Step 10.6
Rewrite as .
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Step 10.6.1
Use to rewrite as .
Step 10.6.2
Apply the power rule and multiply exponents, .
Step 10.6.3
Combine and .
Step 10.6.4
Cancel the common factor of .
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Step 10.6.4.1
Cancel the common factor.
Step 10.6.4.2
Rewrite the expression.
Step 10.6.5
Evaluate the exponent.
Step 11
Combine using the product rule for radicals.
Step 12
The result can be shown in multiple forms.
Exact Form:
Decimal Form: