Trigonometry Examples

Evaluate (4 square root of 2+1)/(4 square root of 2-1)
Step 1
Multiply by .
Step 2
Combine fractions.
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Step 2.1
Multiply by .
Step 2.2
Expand the denominator using the FOIL method.
Step 2.3
Simplify.
Step 3
Simplify the numerator.
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Step 3.1
Raise to the power of .
Step 3.2
Raise to the power of .
Step 3.3
Use the power rule to combine exponents.
Step 3.4
Add and .
Step 4
Simplify .
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Step 4.1
Rewrite as .
Step 4.2
Expand using the FOIL Method.
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Step 4.2.1
Apply the distributive property.
Step 4.2.2
Apply the distributive property.
Step 4.2.3
Apply the distributive property.
Step 4.3
Simplify and combine like terms.
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Step 4.3.1
Simplify each term.
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Step 4.3.1.1
Multiply .
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Step 4.3.1.1.1
Multiply by .
Step 4.3.1.1.2
Raise to the power of .
Step 4.3.1.1.3
Raise to the power of .
Step 4.3.1.1.4
Use the power rule to combine exponents.
Step 4.3.1.1.5
Add and .
Step 4.3.1.2
Rewrite as .
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Step 4.3.1.2.1
Use to rewrite as .
Step 4.3.1.2.2
Apply the power rule and multiply exponents, .
Step 4.3.1.2.3
Combine and .
Step 4.3.1.2.4
Cancel the common factor of .
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Step 4.3.1.2.4.1
Cancel the common factor.
Step 4.3.1.2.4.2
Rewrite the expression.
Step 4.3.1.2.5
Evaluate the exponent.
Step 4.3.1.3
Multiply by .
Step 4.3.1.4
Multiply by .
Step 4.3.1.5
Multiply by .
Step 4.3.1.6
Multiply by .
Step 4.3.2
Add and .
Step 4.3.3
Add and .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: