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Simplify square root of 5u^2v^7 square root of 20u^3v
Step 1
Rewrite as .
Factor
out .
Rewrite as .
Move .
Rewrite as .
Add parentheses.
Step 2
Pull
terms
out from under the radical.
Step 3
Rewrite as .
Factor
out of .
Rewrite as .
Factor
out .
Move .
Rewrite as .
Add parentheses.
Add parentheses.
Step 4
Pull
terms
out from under the radical.
Step 5
Rewrite using the
commutative property of multiplication
.
Step 6
Multiply
by by adding the
exponents
.
Move .
Multiply
by .
Step 7
Multiply
.
Combine
using the
product rule
for radicals.
Multiply
by .
Raise to the
power
of .
Raise to the
power
of .
Use the
power rule
to
combine
exponents
.
Add and .
Step 8
Rewrite as .
Rewrite as .
Move .
Rewrite as .
Step 9
Pull
terms
out from under the radical.
Step 10
Multiply
by by adding the
exponents
.
Move .
Multiply
by .
Raise to the
power
of .
Use the
power rule
to
combine
exponents
.
Add and .
Step 11
Multiply
by .
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