Multiply square root 11×6 square root of seven give an exact answer OK
To multiply square roots, you multiply the numbers inside the square root and combine any like terms outside the square root.
√11 × √7 = √(11 × 7) = √77
So, the exact answer is √77.
To multiply square roots, you can multiply the numbers inside the square roots together and then simplify if possible. Let's multiply the numbers and simplify the expression step by step.
1. Multiply the numbers inside the square roots: 11 × 6 = 66.
2. Combine the square roots: √11 × √7 = √(11 × 7) = √77.
3. Simplify the square root (√77) if possible:
- Break down the number 77 into its prime factors: 77 = 7 × 11.
- Simplify the square root: √77 = √(7 × 11) = √7 × √11.
4. Final answer: √7 × √11.
Therefore, the exact answer is √7 × √11.
To multiply two square roots, you can multiply the numbers inside the square roots together and simplify if possible.
Let's calculate the given expression step by step:
First, distribute the multiplication operation:
√11 × √(6√7)
Next, simplify the expression inside the second square root:
√11 × √(6×√7) = √11 × √(6√7)
Now, simplify the expression inside the second square root further:
√11 × √(6×√7) = √11 × √(6) × √√7
Since √(6) is not a perfect square, and √√7 cannot be simplified further, this is the final answer:
√11 × √(6) × √√7
It is important to note that this is an exact answer using the given expressions. To obtain a numeric approximation, you can substitute the respective values of √11, √(6), and √√7 into a calculator.