SOLUTION: simplify by factoring
cube rt of sqrt 48x^8
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Question 211272: simplify by factoring
cube rt of sqrt 48x^8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's simplify
Start with the given expression.
Factor into
Factor into
Break up the square root using the identity .
Take the square root of to get .
Take the square root of to get .
Rearrange and multiply the terms.
So simplifies to
In other words, where every variable is non-negative.
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So simplifies to
Ie. where
Now let's simplify
Start with the given expression.
Break up the root.
Factor to get
Break up the first root.
Take the cube root of to get
Convert to exponential notation.
Multiply the exponents.
Rewrite the first exponent as
Rearrange the terms.
Factor out
Square and simplify
Multiply
Convert back to radical notation.
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Answer:
So completely simplifies to
In other words, where
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