multiply √11 * 6√7. give an exact answer
To multiply the given expressions:
√11 * 6√7
We can multiply the numbers outside the square roots and multiply the numbers inside the square roots separately.
6 * 11 = 66
√7 * √11 = √(7 * 11) = √77
Therefore, the exact answer is 66√77.
To multiply √11 by 6√7 and get an exact answer, we can use the properties of square roots.
First, we can simplify each square root separately:
√11 is already in its simplified form, so we leave that as it is.
For 6√7, we can break it down further:
6√7 = 6 * √(7) = √(6^2) * √(7) = √(6^2 * 7) = √(36 * 7) = √(252)
Now, we can multiply the two square roots together:
√11 * √(252) = √(11 * 252) = √(2772)
So, the exact answer to √11 * 6√7 is √2772.
To multiply √11 * 6√7, we can follow these steps:
Step 1: Multiply the numbers outside the square roots:
6 * 11 = 66
Step 2: Multiply the numbers inside the square roots:
√7 * √11 = √(7 * 11) = √77
Step 3: Combine the numbers inside and outside the square roots:
66√77
So, the exact answer is 66√77.
thats not right
Apologies for my previous incorrect response.
To multiply √11 * 6√7, we can use the commutative and associative properties of multiplication:
√11 * 6√7 = 6√7 * √11
Now, we can simplify the square roots:
√7 * √11 = √(7 * 11) = √77
Since 6 is outside the square root, we can multiply it directly:
6 * √77 = 6√77
Therefore, the exact answer is 6√77.
divide 2√65/√5 provide an exact answer
To divide the expressions:
2√65 / √5
We can simplify by rationalizing the denominator. To do this, we multiply the numerator and denominator by the conjugate of the denominator (√5):
(2√65 / √5) * (√5 / √5) = (2√65 * √5) / (√5 * √5)
Simplifying further:
= (2√(65 * 5)) / √(5 * 5)
= (2√325) / √25
= (2√325) / 5
Therefore, the exact answer is (2√325) / 5.