SOLUTION: hey i am taking algebra 1b this semester and i am having trouble understanding my homework. at the top of my worksheet it says simplifying radical expressions. all my problems are

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Question 135825: hey i am taking algebra 1b this semester and i am having trouble understanding my homework. at the top of my worksheet it says simplifying radical expressions.
all my problems are fractions. i do not have a square root button so i'll try my best to explain one of the problems by typing "square root sign" since i have no square root sign. thankyou for your support and if this is to hard to understand without the square root button i understand.
"square root sign"75/"square root sign"3

this is a fraction of 75/3 with the square root sign over each number.
Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
It's a general rule that

Do the division first

------------------
Note that
and

That's why there are two square roots of 25

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!
So your problem looks like this: .

The reason that this assignment is called simplifying radical expressions is that the square root sign is called a radical.

Quotient of two radicals rule:

so long as when n is even, and or when n is odd

Since n is understood to be 2 when not specified, let's check our numbers:

: True
: True

That means we can apply the rule, so:

.