√Square roots - Help!?
If the radicals of two sq. roots are the same, and they are multiplied, the radicands remain the same, right?
Example: (7√3)(2√3) = 14√3
Is that correct? Also, how do I simplify radicals in the fastest way possible? (I forgot how to- if anyone can explain it'd be appreciated).
For example, how would I simplify this in a fast and easy way?:
√4410
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Verified answer
Yes you are correct with the first idea.
For simplifying others,
example √4410
pull out what you know first like √10 = √2√5
so √4410 = √2√5√441
After the most obvious, I go through squares (4, 9, 16 etc)
√2√5√441 = √2√5√9√49
= 3*7 √2√5
"(7â3)(2â3) = 14â3"
Pull out a calculator and try it for yourself. You will learn better that way.