Basic Math Examples

Simplify (7 square root of 3- square root of 2)( square root of 3+5 square root of 2)
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 and combine like terms.
Tap for more steps...
Step 2.1
Simplify each term.
Tap for more steps...
Step 2.1.1
Multiply .
Tap for more steps...
Step 2.1.1.1
Raise to the power of .
Step 2.1.1.2
Raise to the power of .
Step 2.1.1.3
Use the power rule to combine exponents.
Step 2.1.1.4
Add and .
Step 2.1.2
Rewrite as .
Tap for more steps...
Step 2.1.2.1
Use to rewrite as .
Step 2.1.2.2
Apply the power rule and multiply exponents, .
Step 2.1.2.3
Combine and .
Step 2.1.2.4
Cancel the common factor of .
Tap for more steps...
Step 2.1.2.4.1
Cancel the common factor.
Step 2.1.2.4.2
Rewrite the expression.
Step 2.1.2.5
Evaluate the exponent.
Step 2.1.3
Multiply by .
Step 2.1.4
Multiply .
Tap for more steps...
Step 2.1.4.1
Multiply by .
Step 2.1.4.2
Combine using the product rule for radicals.
Step 2.1.4.3
Multiply by .
Step 2.1.5
Multiply .
Tap for more steps...
Step 2.1.5.1
Combine using the product rule for radicals.
Step 2.1.5.2
Multiply by .
Step 2.1.6
Multiply .
Tap for more steps...
Step 2.1.6.1
Multiply by .
Step 2.1.6.2
Raise to the power of .
Step 2.1.6.3
Raise to the power of .
Step 2.1.6.4
Use the power rule to combine exponents.
Step 2.1.6.5
Add and .
Step 2.1.7
Rewrite as .
Tap for more steps...
Step 2.1.7.1
Use to rewrite as .
Step 2.1.7.2
Apply the power rule and multiply exponents, .
Step 2.1.7.3
Combine and .
Step 2.1.7.4
Cancel the common factor of .
Tap for more steps...
Step 2.1.7.4.1
Cancel the common factor.
Step 2.1.7.4.2
Rewrite the expression.
Step 2.1.7.5
Evaluate the exponent.
Step 2.1.8
Multiply by .
Step 2.2
Subtract from .
Step 2.3
Subtract from .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: