How would you simplify this square root equation [NO DECIMALS!]?

Question

4(sqrt10) * 3(sqrt6)

Answer 1

if the equation looks like this (4√10) * (3√6)

Then muliply the numbers outside the radical (or square root sign if u like that better) sign and only with those types of number... now the numbers that are on the inside of the radical sign should be muliplied together giving you (12√60) which can be reduced to (24√15)

hope it helps...

Answer 2

Square roots can be broken up by their factors. I.e:

√10 can be broken up into (√5)(√2)

This changes the problem to 4(√5)(√2) * 3(√6)

√6 can be broken up into (√3)(√2)

This gives: 4(√5)(√2) * 3(√3)(√2)

Multiplying it all out, I would start with the whole numbers. 4x3 is 12, resulting in: 12(√5)(√2)(√3)(√2). There are 2 √2. When you times a square root by itself, the square root goes away, leaving just 2, making the problem 25(√5)(√3). √5 * √3 is the same as √15, doing the opposite of what we did above.

This gives the answer as 25(√15).