Algebra Examples

Simplify the Radical Expression fourth root of 5/(2y^2)
Step 1
Rewrite as .
Step 2
Multiply by .
Step 3
Combine and simplify the denominator.
Tap for more steps...
Step 3.1
Multiply by .
Step 3.2
Raise to the power of .
Step 3.3
Use the power rule to combine exponents.
Step 3.4
Add and .
Step 3.5
Rewrite as .
Tap for more steps...
Step 3.5.1
Use to rewrite as .
Step 3.5.2
Apply the power rule and multiply exponents, .
Step 3.5.3
Combine and .
Step 3.5.4
Cancel the common factor of .
Tap for more steps...
Step 3.5.4.1
Cancel the common factor.
Step 3.5.4.2
Rewrite the expression.
Step 3.5.5
Simplify.
Step 4
Simplify the numerator.
Tap for more steps...
Step 4.1
Rewrite as .
Step 4.2
Apply the product rule to .
Step 4.3
Raise to the power of .
Step 4.4
Multiply the exponents in .
Tap for more steps...
Step 4.4.1
Apply the power rule and multiply exponents, .
Step 4.4.2
Multiply by .
Step 4.5
Rewrite as .
Tap for more steps...
Step 4.5.1
Factor out .
Step 4.5.2
Reorder and .
Step 4.5.3
Add parentheses.
Step 4.6
Pull terms out from under the radical.
Step 4.7
Combine exponents.
Tap for more steps...
Step 4.7.1
Combine using the product rule for radicals.
Step 4.7.2
Multiply by .