Basic Math Examples

Multiply (3+ square root of 5)( square root of 10- square root of 2) square root of 3- square root of 5
Step 1
Expand using the FOIL Method.
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Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Simplify and combine like terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Multiply by .
Step 2.1.2
Combine using the product rule for radicals.
Step 2.1.3
Multiply by .
Step 2.1.4
Rewrite as .
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Step 2.1.4.1
Factor out of .
Step 2.1.4.2
Rewrite as .
Step 2.1.5
Pull terms out from under the radical.
Step 2.1.6
Multiply .
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Step 2.1.6.1
Combine using the product rule for radicals.
Step 2.1.6.2
Multiply by .
Step 2.2
Subtract from .
Step 2.3
Add and .
Step 3
Apply the distributive property.
Step 4
Combine using the product rule for radicals.
Step 5
Combine using the product rule for radicals.
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: