What is three square root of seven
The square root of 7 is approximately 2.646. Therefore, three times the square root of 7 would be approximately 7.937.
To find the value of three times the square root of seven, we can follow these steps:
1. Calculate the square root of seven:
- The square root of seven is approximate to 2.646.
2. Multiply the square root of seven by three:
- Multiply 2.646 by 3.
- The result is approximately 7.938.
Therefore, three times the square root of seven is approximately 7.938.
To calculate the value of the cube root of seven (∛7), follow these steps:
Step 1: Start with an initial approximation.
An approximate value for the cube root of seven is 1.9.
Step 2: Improve the approximation.
To improve the approximation, use the formula for Newton's method: Xn+1 = (2*Xn/3) + (7 / (3*Xn^2))
Using the initial approximation of 1.9, substitute it into the formula:
X1 = (2*1.9/3) + (7 / (3*1.9^2))
X1 ≈ 2.57894736842
Step 3: Repeat step 2 until you achieve an accurate enough result.
Continuing with the calculation:
X2 = (2*2.57894736842/3) + (7 / (3*2.57894736842^2))
X2 ≈ 2.64482233069
The more you repeat step 2, the more accurate your result will be. Repeat the calculation until you reach a satisfactory level of accuracy.