multiply √11 x 6√7. give an exact answer
To multiply √11 and 6√7, we can use the property of radicals that says √a * √b = √(a * b).
So, √11 x 6√7 = 6√(11 * 7).
We can simplify this further by multiplying the numbers under the square root:
√(11 * 7) = √77.
Therefore, the exact answer is 6√77.
To multiply √11 by 6√7, we need to multiply the numbers outside the square roots and then multiply the numbers inside the square roots. Let's break it down step by step:
Step 1: Multiply the numbers outside the square roots:
√11 x 6 = 6√11
Step 2: Multiply the numbers inside the square roots:
√7 x √11 = √(7 x 11) = √77
Step 3: Combine the results from step 1 and step 2:
6√11 x √7 = 6√11√7 = 6√(77)
Therefore, the exact answer is 6√(77).
To multiply √11 and 6√7, we can use the property √a × √b = √(a × b):
√11 × 6√7 = 6√(11 × 7)
Next, we can simplify the square root of the product:
6√(11 × 7) = 6√77
Therefore, the exact multiplication of √11 and 6√7 is 6√77.
Divide 2√65 / √5. Provide an exact answer. (1 point)
To divide 2√65 by √5, we can simplify the expression by rationalizing the denominator.
First, we can rewrite the expression:
2√65 / √5
To rationalize the denominator, we need to multiply the numerator and denominator by √5:
(2√65 / √5) * (√5 / √5) = (2√(65 * 5)) / (√(5 * 5))
Simplifying further:
(2√(325)) / (√25) = (2√325) / 5
Therefore, the exact answer is (2√325) / 5.