Basic Math Examples

Simplify ( square root of y+ square root of z)( square root of y+ square root of z)
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
Simplify.
Step 2.1.3
Combine using the product rule for radicals.
Step 2.1.4
Combine using the product rule for radicals.
Step 2.1.5
Multiply .
Tap for more steps...
Step 2.1.5.1
Raise to the power of .
Step 2.1.5.2
Raise to the power of .
Step 2.1.5.3
Use the power rule to combine exponents.
Step 2.1.5.4
Add and .
Step 2.1.6
Rewrite as .
Tap for more steps...
Step 2.1.6.1
Use to rewrite as .
Step 2.1.6.2
Apply the power rule and multiply exponents, .
Step 2.1.6.3
Combine and .
Step 2.1.6.4
Cancel the common factor of .
Tap for more steps...
Step 2.1.6.4.1
Cancel the common factor.
Step 2.1.6.4.2
Rewrite the expression.
Step 2.1.6.5
Simplify.
Step 2.2
Add and .
Tap for more steps...
Step 2.2.1
Reorder and .
Step 2.2.2
Add and .
Step 3
Move .