SQRT(x) * SQRT(y) = SQRT(x*y) Example: SQRT(3) * SQRT(27) = SQRT(81) = 9
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If you multiply it by itself you get 13. This is what square roots do!
√6 * √8 = √(6*8) = √(16*3) = 4√3
This is because if you multiply two negative numbers you get positive.
You can combine square roots when you multiply or divide. For example: root(2) x root(3) = root(6). You cannot do the same for addition and subtraction. For example, root(2) + root(3) can't be simplified.
In a way. You can multiply top and bottom by the square root of 2. This will not exactly make the expression simpler, but you'll get rid of the square root in the denominator (and transfer it to the numerator); this is considered to be the standard form for expressions which involve square roots. In other words, there should be no square roots in the denominator.