How do you simplify the square root of 750?

1 Answer
SCooke
May 9, 2018

10 xx sqrt(7.5),

Explanation:

With modern calculators - OK, even with our old slide rules - it really can be calculated directly. BUT, if you want to simplify the expression first into smaller units, you can separate a 'square' factor from the original value.
sqrt(750) = sqrt(100 xx 7.5) = sqrt(100) xx sqrt(7.5)
This is now 10 xx sqrt(7.5), but I'm now sure that easier the new radical is any to calculate that the original.

We could take it one more level down with 7.5 = 4 xx 1.875 to
20 xx sqrt(1.875) Again, is it getting simpler, or just more complicated?

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