Finite Math Examples

Evaluate square root of 49/20
Step 1
Rewrite as .
Step 2
Simplify the numerator.
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Step 2.1
Rewrite as .
Step 2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 3
Simplify the denominator.
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Step 3.1
Rewrite as .
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Step 3.1.1
Factor out of .
Step 3.1.2
Rewrite as .
Step 3.2
Pull terms out from under the radical.
Step 4
Multiply by .
Step 5
Combine and simplify the denominator.
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Step 5.1
Multiply by .
Step 5.2
Move .
Step 5.3
Raise to the power of .
Step 5.4
Raise to the power of .
Step 5.5
Use the power rule to combine exponents.
Step 5.6
Add and .
Step 5.7
Rewrite as .
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Step 5.7.1
Use to rewrite as .
Step 5.7.2
Apply the power rule and multiply exponents, .
Step 5.7.3
Combine and .
Step 5.7.4
Cancel the common factor of .
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Step 5.7.4.1
Cancel the common factor.
Step 5.7.4.2
Rewrite the expression.
Step 5.7.5
Evaluate the exponent.
Step 6
Multiply by .
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: