Basic Math Examples

Multiply ( square root of 3- square root of 6)( square root of 2- square root of 3)
Step 1
Expand using the FOIL Method.
Tap for more steps...
Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Simplify each term.
Tap for more steps...
Step 2.1
Combine using the product rule for radicals.
Step 2.2
Multiply by .
Step 2.3
Multiply .
Tap for more steps...
Step 2.3.1
Raise to the power of .
Step 2.3.2
Raise to the power of .
Step 2.3.3
Use the power rule to combine exponents.
Step 2.3.4
Add and .
Step 2.4
Rewrite as .
Tap for more steps...
Step 2.4.1
Use to rewrite as .
Step 2.4.2
Apply the power rule and multiply exponents, .
Step 2.4.3
Combine and .
Step 2.4.4
Cancel the common factor of .
Tap for more steps...
Step 2.4.4.1
Cancel the common factor.
Step 2.4.4.2
Rewrite the expression.
Step 2.4.5
Evaluate the exponent.
Step 2.5
Multiply by .
Step 2.6
Multiply .
Tap for more steps...
Step 2.6.1
Combine using the product rule for radicals.
Step 2.6.2
Multiply by .
Step 2.7
Rewrite as .
Tap for more steps...
Step 2.7.1
Factor out of .
Step 2.7.2
Rewrite as .
Step 2.8
Pull terms out from under the radical.
Step 2.9
Multiply by .
Step 2.10
Multiply .
Tap for more steps...
Step 2.10.1
Multiply by .
Step 2.10.2
Multiply by .
Step 2.10.3
Combine using the product rule for radicals.
Step 2.10.4
Multiply by .
Step 2.11
Rewrite as .
Tap for more steps...
Step 2.11.1
Factor out of .
Step 2.11.2
Rewrite as .
Step 2.12
Pull terms out from under the radical.
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: