Trigonometry Examples

Evaluate square root of (( square root of 61-6)/( square root of 61))/2
Step 1
Multiply the numerator by the reciprocal of the denominator.
Step 2
Multiply by .
Step 3
Simplify terms.
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Step 3.1
Combine and simplify the denominator.
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Step 3.1.1
Multiply by .
Step 3.1.2
Raise to the power of .
Step 3.1.3
Raise to the power of .
Step 3.1.4
Use the power rule to combine exponents.
Step 3.1.5
Add and .
Step 3.1.6
Rewrite as .
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Step 3.1.6.1
Use to rewrite as .
Step 3.1.6.2
Apply the power rule and multiply exponents, .
Step 3.1.6.3
Combine and .
Step 3.1.6.4
Cancel the common factor of .
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Step 3.1.6.4.1
Cancel the common factor.
Step 3.1.6.4.2
Rewrite the expression.
Step 3.1.6.5
Evaluate the exponent.
Step 3.2
Apply the distributive property.
Step 3.3
Combine using the product rule for radicals.
Step 4
Simplify each term.
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Step 4.1
Multiply by .
Step 4.2
Rewrite as .
Step 4.3
Pull terms out from under the radical, assuming positive real numbers.
Step 5
Multiply .
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Step 5.1
Multiply by .
Step 5.2
Multiply by .
Step 6
Rewrite as .
Step 7
Multiply by .
Step 8
Combine and simplify the denominator.
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Step 8.1
Multiply by .
Step 8.2
Raise to the power of .
Step 8.3
Raise to the power of .
Step 8.4
Use the power rule to combine exponents.
Step 8.5
Add and .
Step 8.6
Rewrite as .
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Step 8.6.1
Use to rewrite as .
Step 8.6.2
Apply the power rule and multiply exponents, .
Step 8.6.3
Combine and .
Step 8.6.4
Cancel the common factor of .
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Step 8.6.4.1
Cancel the common factor.
Step 8.6.4.2
Rewrite the expression.
Step 8.6.5
Evaluate the exponent.
Step 9
Combine using the product rule for radicals.
Step 10
The result can be shown in multiple forms.
Exact Form:
Decimal Form: