Basic Math Examples

Simplify ((3 square root of 5)-2 square root of 3)/( square root of 3)
Step 1
Multiply by .
Step 2
Combine and simplify the denominator.
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Step 2.1
Multiply by .
Step 2.2
Raise to the power of .
Step 2.3
Raise to the power of .
Step 2.4
Use the power rule to combine exponents.
Step 2.5
Add and .
Step 2.6
Rewrite as .
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Step 2.6.1
Use to rewrite as .
Step 2.6.2
Apply the power rule and multiply exponents, .
Step 2.6.3
Combine and .
Step 2.6.4
Cancel the common factor of .
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Step 2.6.4.1
Cancel the common factor.
Step 2.6.4.2
Rewrite the expression.
Step 2.6.5
Evaluate the exponent.
Step 3
Apply the distributive property.
Step 4
Multiply .
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Step 4.1
Combine using the product rule for radicals.
Step 4.2
Multiply by .
Step 5
Multiply .
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Step 5.1
Raise to the power of .
Step 5.2
Raise to the power of .
Step 5.3
Use the power rule to combine exponents.
Step 5.4
Add and .
Step 6
Simplify each term.
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Step 6.1
Rewrite as .
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Step 6.1.1
Use to rewrite as .
Step 6.1.2
Apply the power rule and multiply exponents, .
Step 6.1.3
Combine and .
Step 6.1.4
Cancel the common factor of .
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Step 6.1.4.1
Cancel the common factor.
Step 6.1.4.2
Rewrite the expression.
Step 6.1.5
Evaluate the exponent.
Step 6.2
Multiply by .
Step 7
Cancel the common factor of and .
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Step 7.1
Factor out of .
Step 7.2
Factor out of .
Step 7.3
Factor out of .
Step 7.4
Cancel the common factors.
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Step 7.4.1
Factor out of .
Step 7.4.2
Cancel the common factor.
Step 7.4.3
Rewrite the expression.
Step 7.4.4
Divide by .
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: