SOLUTION: Simplify: sqrt45sqrt2000 I can solve up to: sqrt45 => sqrt9*5 => 3sqrt5 When I get up to sqrt2000, I'm having trouble in deciding what numbers to use to break it do

Question 1037598: Simplify:
sqrt45sqrt2000
I can solve up to:
sqrt45 => sqrt9*5 => 3sqrt5
When I get up to sqrt2000,
I'm having trouble in deciding what numbers to use to break it down.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Simplify:
sqrt45sqrt2000
I can solve up to:
sqrt45 => sqrt9*5 => 3sqrt5
When I get up to sqrt2000,
I'm having trouble in deciding what numbers to use to break it down.
-----
2000 = 100*20 = 100*4*5
----
sqrt(2000) = sqrt(100*4*5) = 10*2*sqrt(5) = 20*sqrt(5)
------------
Cheers,
Stan H.
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