Trigonometry Examples

Simplify (( square root of 6)/4-( square root of 2)/4)^2
Step 1
Simplify the expression.
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Step 1.1
Combine the numerators over the common denominator.
Step 1.2
Apply the product rule to .
Step 1.3
Raise to the power of .
Step 1.4
Rewrite as .
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
Combine using the product rule for radicals.
Step 3.1.2
Multiply by .
Step 3.1.3
Rewrite as .
Step 3.1.4
Pull terms out from under the radical, assuming positive real numbers.
Step 3.1.5
Multiply .
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Step 3.1.5.1
Combine using the product rule for radicals.
Step 3.1.5.2
Multiply by .
Step 3.1.6
Rewrite as .
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Step 3.1.6.1
Factor out of .
Step 3.1.6.2
Rewrite as .
Step 3.1.7
Pull terms out from under the radical.
Step 3.1.8
Multiply by .
Step 3.1.9
Multiply .
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Step 3.1.9.1
Combine using the product rule for radicals.
Step 3.1.9.2
Multiply by .
Step 3.1.10
Rewrite as .
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Step 3.1.10.1
Factor out of .
Step 3.1.10.2
Rewrite as .
Step 3.1.11
Pull terms out from under the radical.
Step 3.1.12
Multiply by .
Step 3.1.13
Multiply .
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Step 3.1.13.1
Multiply by .
Step 3.1.13.2
Multiply by .
Step 3.1.13.3
Raise to the power of .
Step 3.1.13.4
Raise to the power of .
Step 3.1.13.5
Use the power rule to combine exponents.
Step 3.1.13.6
Add and .
Step 3.1.14
Rewrite as .
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Step 3.1.14.1
Use to rewrite as .
Step 3.1.14.2
Apply the power rule and multiply exponents, .
Step 3.1.14.3
Combine and .
Step 3.1.14.4
Cancel the common factor of .
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Step 3.1.14.4.1
Cancel the common factor.
Step 3.1.14.4.2
Rewrite the expression.
Step 3.1.14.5
Evaluate the exponent.
Step 3.2
Add and .
Step 3.3
Subtract from .
Step 4
Cancel the common factor of and .
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Step 4.1
Factor out of .
Step 4.2
Factor out of .
Step 4.3
Factor out of .
Step 4.4
Cancel the common factors.
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Step 4.4.1
Factor out of .
Step 4.4.2
Cancel the common factor.
Step 4.4.3
Rewrite the expression.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: