Trigonometry Examples

Evaluate (5 square root of 8+5)(2 square root of 8-2)
Step 1
Simplify terms.
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Step 1.1
Simplify each term.
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Step 1.1.1
Rewrite as .
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Step 1.1.1.1
Factor out of .
Step 1.1.1.2
Rewrite as .
Step 1.1.2
Pull terms out from under the radical.
Step 1.1.3
Multiply by .
Step 1.2
Simplify each term.
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Step 1.2.1
Rewrite as .
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Step 1.2.1.1
Factor out of .
Step 1.2.1.2
Rewrite as .
Step 1.2.2
Pull terms out from under the radical.
Step 1.2.3
Multiply by .
Step 2
Expand using the FOIL Method.
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Step 2.1
Apply the distributive property.
Step 2.2
Apply the distributive property.
Step 2.3
Apply the distributive property.
Step 3
Simplify and combine like terms.
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Step 3.1
Simplify each term.
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Step 3.1.1
Multiply .
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Step 3.1.1.1
Multiply by .
Step 3.1.1.2
Raise to the power of .
Step 3.1.1.3
Raise to the power of .
Step 3.1.1.4
Use the power rule to combine exponents.
Step 3.1.1.5
Add and .
Step 3.1.2
Rewrite as .
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Step 3.1.2.1
Use to rewrite as .
Step 3.1.2.2
Apply the power rule and multiply exponents, .
Step 3.1.2.3
Combine and .
Step 3.1.2.4
Cancel the common factor of .
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Step 3.1.2.4.1
Cancel the common factor.
Step 3.1.2.4.2
Rewrite the expression.
Step 3.1.2.5
Evaluate the exponent.
Step 3.1.3
Multiply by .
Step 3.1.4
Multiply by .
Step 3.1.5
Multiply by .
Step 3.1.6
Multiply by .
Step 3.2
Subtract from .
Step 3.3
Add and .
Step 3.4
Add and .