SOLUTION: 3. Simplify:
√[144x10y12z18]
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Question 118228: 3. Simplify:
√[144x10y12z18]
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression
Factor into
Break up the square root using the identity
Take the square root of the perfect square 144 to get 12
Take the square root of the perfect squares , and to get , and
Multiply the common terms
So simplifies to
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Here's another way to do it
Start with the given expression
Rewrite the radical expression into an exponential expression
Rewrite 144 as
Distribute the outer exponent
Multiply the exponents
Simplify
Rewrite as
Take the square root of the perfect square 144 to get 12
So simplifies to
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