multiply √11 . 6√7
To multiply √11 and 6√7, you can use the product rule of radicals, which states that √a * √b = √(a * b).
√11 * 6√7 = √(11 * 6) * √7
√(11 * 6) * √7 = √66 * √7
Since both radicals have the same index (2) and the same radicand (66 * 7), we can combine them:
√66 * √7 = √(66 * 7)
√(66 * 7) = √462
Therefore, the product of √11 and 6√7 is √462.
To multiply √11 by 6√7, we can use the product of square roots property, which states that the square root of a product is equal to the product of the square roots.
Step 1: Write out the problem.
√11 * 6√7
Step 2: Use the product of square roots property.
(√11) * (6√7) = √(11 * 7)
Step 3: Simplify the square root term.
√(11 * 7) = √77
Therefore, the product of √11 and 6√7 is √77.
To multiply these two expressions, √11 and 6√7, you can follow these steps:
Step 1: Simplify each expression separately:
√11 is the square root of 11.
6√7 is 6 times the square root of 7.
Step 2: Multiply the coefficients (numbers outside the square roots) together:
6 × 6 = 36
Step 3: Multiply the square roots together:
√11 × √7 = √(11 × 7) = √77
Step 4: Combine the results from steps 2 and 3:
36√77
Therefore, the product of √11 and 6√7 is 36√77.