Basic Math Examples

Evaluate (2-5^(1/2))*(2+ square root of 5)
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 by .
Step 2.1.2
Multiply by .
Step 2.1.3
Multiply .
Tap for more steps...
Step 2.1.3.1
Use to rewrite as .
Step 2.1.3.2
Use the power rule to combine exponents.
Step 2.1.3.3
Combine the numerators over the common denominator.
Step 2.1.3.4
Add and .
Step 2.1.3.5
Cancel the common factor of .
Tap for more steps...
Step 2.1.3.5.1
Cancel the common factor.
Step 2.1.3.5.2
Rewrite the expression.
Step 2.1.4
Evaluate the exponent.
Step 2.1.5
Multiply by .
Step 2.2
Subtract from .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: