Multiply square root 11 × 6 square root of seven give an exact answer
To multiply square roots, you multiply the numbers under the square roots and then simplify if possible.
Square root 11 multiplied by 6 square root of seven is:
√11 × 6√7
√(11 × 6 × 7)
√(462)
Therefore, the exact answer is √462.
To multiply square roots, you can use the property √a * √b = √(a * b). In this case, you want to find the exact value of √11 * 6√7.
First, let's multiply the numbers outside the square roots: 6 * 7 = 42.
Next, let's multiply the numbers inside the square roots: √11 * √7 = √(11 * 7) = √77.
Now, combine the results: √11 * 6√7 = 42√77.
Therefore, the exact answer to √11 * 6√7 is 42√77.
To multiply the square root of 11 by 6 times the square root of 7 and get an exact answer, you can follow these steps:
Step 1: Recognize that the square roots of 11 and 7 cannot be simplified further.
Step 2: Multiply the coefficients (numbers outside the square roots): 6 × 6 = 36.
Step 3: Multiply the numbers inside the square roots together: √11 × √7 = √(11 × 7) = √77.
Step 4: Combine the results from steps 2 and 3:
36 * √77.
Thus, the exact answer is 36√77.