Answer:

Step-by-step explanation:

To find the square root of 50:

Make a reasonable estimate: Since 50 is between 49 and 64 (7^2 and 8^2), we can estimate that the square root of 50 is between 7 and 8.

Use the Babylonian method: Let's start with 7 as our initial guess and apply the following formula to get a better estimate:

x1 = (x0 + 50/x0) / 2

where x0 is the initial guess and x1 is the new estimate.

Plugging in 7 as x0, we get:

x1 = (7 + 50/7) / 2

x1 = (7 + 7.14) / 2

x1 = 7.07

Check the result: To check if our estimate is close enough to the actual value, we can square it and compare with 50:

7.07^2 = 49.9849

The result is very close to 50, so we can conclude that the square root of 50 is approximately 7.07.

Therefore, the square root of 50 is √50 ≈ 7.07.

Verified answer

Answer:

The Square Root of 50 ≅ 7.07

Step-by-step explanation:

How to find the Square Root of 50?

To find the square root of 50, we shall first express it in terms of its prime factors.

50 = 2 × 5 × 5

Next, this can be reduced further to  50 = 2 × 52

Finally, to find the root of this from here it is very easy,

√50 = √(25 × 2) = 5√2 = 5 × 1.414 = 7.07

Therefore, the Square Root of 50 ≅ 7.07

Study Well!! ^-^