Multiply √11 6√7
To multiply √11 and 6√7, you multiply the coefficients (numbers in front) and then multiply the terms with the same radical.
√11 * 6√7 = 6 * √11 * √7 = 6 * √(11 * 7) = 6√77
Therefore, the result is 6√77.
To multiply √11 and 6√7, we can use the rule of multiplying square roots.
Step 1: Multiply the coefficients (numbers outside the square roots).
6 × √11 = 6√11
Step 2: Multiply the terms inside the square roots.
√7 × √11 = √(7 × 11) = √77
Step 3: Combine the results from step 1 and step 2.
The final result is 6√11√77, which can be simplified as 6√(11 × 77) = 6√847.
To multiply the expressions √11 and 6√7, we can use the properties of multiplication with square roots.
Step 1: Simplify each square root expression individually.
√11 cannot be simplified any further because 11 is not a perfect square. Similarly, 6√7 cannot be simplified because 7 is also not a perfect square.
Step 2: Multiply the coefficients (numbers outside the square roots) together.
The coefficient of √11 is 1 (since it is not explicitly written) and the coefficient of 6√7 is 6. Therefore, multiplying the coefficients gives us 1 * 6 = 6.
Step 3: Multiply the numbers inside the square roots together.
Inside √11, there is only 1 number (11), and inside 6√7, there is also only 1 number (7). Therefore, multiplying the numbers inside each square root gives us 11 * 7 = 77.
Step 4: Combine the results from Steps 2 and 3.
Combining the results, we have 6√(11*7) = 6√77.
So, the product of √11 and 6√7 is 6√77.