Trigonometry Examples

Evaluate square root of 5(2 square root of 5- square root of 11)
Step 1
Apply the distributive property.
Step 2
Multiply .
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Step 2.1
Raise to the power of .
Step 2.2
Raise to the power of .
Step 2.3
Use the power rule to combine exponents.
Step 2.4
Add and .
Step 3
Multiply .
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Step 3.1
Combine using the product rule for radicals.
Step 3.2
Multiply by .
Step 4
Simplify each term.
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Step 4.1
Rewrite as .
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Step 4.1.1
Use to rewrite as .
Step 4.1.2
Apply the power rule and multiply exponents, .
Step 4.1.3
Combine and .
Step 4.1.4
Cancel the common factor of .
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Step 4.1.4.1
Cancel the common factor.
Step 4.1.4.2
Rewrite the expression.
Step 4.1.5
Evaluate the exponent.
Step 4.2
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: