multiply √11 . 6√7 give an exact answer
To multiply √11 by 6√7, we can simplify the square roots separately, then multiply the numbers outside the square roots.
√11 can't be simplified further because 11 is not a perfect square. However, 6 can be written as 2 * 3, so we can write 6√7 as 2 * 3 * √7.
Now we can multiply the numbers outside the square roots:
√11 * 6√7 = √11 * (2 * 3 * √7)
Multiplying these, we get:
= (2 * 3) * (√11 * √7)
= 6 * √(11 * 7)
= 6 * √77
Therefore, the exact answer is 6√77.
To calculate the product of √11 and 6√7, we can simplify the expression using the properties of square roots.
First, we can simplify √11 to a simpler form by decomposing the radicand into its prime factors: 11 = 11.
Next, we multiply the two square roots:
√11 * 6√7 = 6 * √11 * √7 = 6√77.
Therefore, the exact answer for the product of √11 and 6√7 is 6√77.
To multiply two numbers with square roots, you can multiply the numbers outside the square roots and then multiply the numbers inside the square roots. Let's break it down step by step:
1. Multiply the numbers outside the square roots: √11 * 6.
The square root of 11 cannot be simplified further, so we keep it as √11.
√11 * 6 = 6√11.
2. Multiply the numbers inside the square roots: √7.
Similarly, the square root of 7 cannot be simplified further, so we keep it as √7.
3. Combine the results from steps 1 and 2:
6√11 * √7 = 6√77.
Therefore, the exact answer to √11 * 6√7 is 6√77.