Quick Homework Help

# Sorry, the question I typed was wrong. I wanted to ask: Why can't the square root of 120 be the square root of 12 and the square root of 10? Because 12 x 10= 120. ⚑ Flag

by Lucy059 at December 13, 2009

sqrt12*sqrt10=sqrt120. However, if you're adding, you can't do anything with the roots.

noobz December 13, 2009

because squaring is when you multiply a number by itself. for example 10 x 10 and 12 x 12

Eugene_Kang December 15, 2009

Well it can and it can't. That's an acceptable way to start simplifying the sqrt of 120 algebraically, but it's not complete. sqrt 120 = sqrt 12*10... fine, but you've got to break it into prime factorization to simplify. So, sqrt 120 = sqrt 2*2*2*3*5. Then you take out any pairs. Here we have a pair of 2's. Sqrt 120 = sqrt 2*2*2*3*5 = 2 sqrt 2*3*5 (then multiply everything together so it's in the smallest possible form to get: 2 sqrt 30  Note: The reason only 2 comes out, instread of 4, is that you have to actually take the sqrt of a number to pull it out of the radical. So a pair of 2's in the radical equals one 2 outside the radical.

bpeters December 16, 2009

If you click on special character, you canalso get a symbol like √ (square root)

JoshC December 18, 2009