Combine these radicals: √27- √3

Combine these radicals. √27- √3

Answer to the question “Combine these radicals. √27- √3”

A step-by-step explanation of the answer to the question “Combine these radicals. √27- √3”

1. √27: the square root of 27 can be simplified as √(9 x 3). Since 9 is a perfect square (3 x 3 = 9), it can be taken out of the square root as 3. So, √27 = √(9 x 3) = 3√3.
2. • √3: there is a negative sign in front of the square root of 3.

Now, to combine the radicals, we have 3√3 – √3. Both terms have the same radical, which is √3, so we can combine them by subtracting the coefficients:

3√3 – √3 = (3 – 1)√3 = 2√3.

Therefore, the combined radicals are 2√3.