i cannot figure out how to simplify the square root of 6/7 times the square root of 1/3. please help!!!
sqrt(6/7)sqrt(1/3)= sqrt(6*1/21)=sqrt 2/7
Thank you, Bob. I really appreciate the help.
To simplify the expression √(6/7) * √(1/3), you can follow these steps:
Step 1: Simplify each square root separately.
√(6/7) = √6 / √7
√(1/3) = √1 / √3
Step 2: Simplify the resulting fractions.
√6 / √7 = (√6 * √7) / (√7 * √7) = √42 / 7
√1 / √3 = √1 / (√3 * √3) = 1 / √3
Step 3: Multiply the simplified fractions.
(√42 / 7) * (1 / √3) = √42 / (7 * √3)
Step 4: Rationalize the denominator by multiplying both the numerator and the denominator by √3.
√42 / (7 * √3) * (√3 / √3) = (√42 * √3) / (7 * √3 * √3) = √126 / 21
Therefore, the simplified expression is √126 / 21.