Q: Simplify by rationalizing the denominator: √8/√24
Answer: To rationalize the denominator, multiply both top and bottom by the denominator. So, multiply both top and bottom by √24:
√8/√24
√8*√24 / √24*√24
Simplify the top and bottom like so:
√192 / 24
Now, we need to simplify the numerator! It turns out that 192 = 64*3, so:
√192 / 24 = √64*√3 / 24
And, this simplifies to:
8*√3 / 24
Now, divide an 8 out of top and bottom to get:
√3 / 3