help please!!!!!!!!!!!!!
simplify: sqrt () 36 / 81
sqrt(36/81)=(sqrt36)/(sqrt81)
=6/9 (6^2=36, 9^2=81)
=2/3 (take out the common factor 3 from both the denominator and the numerator)
To simplify the expression sqrt(36/81), we can simplify the numerator (36) and denominator (81) separately and then take the square root.
Let's start by simplifying the numerator, which is 36. Since 36 is a perfect square, we can take its square root directly. The square root of 36 is 6.
Next, we simplify the denominator, which is 81. Again, 81 is a perfect square, so its square root is 9.
Now, we have the fraction sqrt(36) / sqrt(81), which simplifies to 6/9.
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3. Dividing 6 by 3 gives us 2, and dividing 9 by 3 gives us 3.
Therefore, the simplified form of sqrt(36/81) is 2/3.