sqrt 11 x 6 sqrt 7
To simplify the expression √11 * 6√7, we can multiply the numbers outside the square root together and the numbers inside the square root together:
√11 * 6√7 = (√11 * 6)(√7) = √66 * √7
Next, we can simplify the square root by multiplying the numbers inside the square root together:
√66 * √7 = √(66 * 7) = √462
The simplified form of √11 * 6√7 is √462.
To simplify the expression sqrt(11) x 6 sqrt(7), follow these steps:
Step 1: Multiply the coefficients (numbers outside the square roots):
6 x 6 = 36
Step 2: Multiply the numbers inside the square roots:
sqrt(11) x sqrt(7) = sqrt(11 x 7) = sqrt(77)
Step 3: Combine the results from steps 1 and 2:
36 sqrt(77)
Therefore, sqrt(11) x 6 sqrt(7) simplifies to 36 sqrt(77).
To simplify the expression √11 × 6√7, you can use the properties of square roots.
First, let's simplify each square root individually.
√11 cannot be simplified since 11 is not a perfect square.
√7 also cannot be simplified since 7 is not a perfect square.
Now, let's multiply the two square roots together. Since multiplication is commutative, we can multiply the coefficients (numbers) and the square roots separately.
6 × √11 × √7
Next, we can simplify the coefficient 6 by multiplying it with the square root of 11.
6√11 × √7
Finally, we can combine the two square roots by using the property √a × √b = √(a × b).
6√(11 × 7)
This simplifies to:
6√77
So, √11 × 6√7 simplifies to 6√77.