Question

Estimate √50 to the hundredths place.

Answer 1

7.07

Explanation:

Answer 2

7.07

Explanation:

Hello!

Let's find two perfect square numbers that are directly before and after 50.

• 
  `√(49) < √(50) < √(64)`
• 
  `7 < √(50) < 8`

Since the square of 7 is the closest, we can use that as our whole number.

To find the decimal...

49 is 1 away from 50, and 64 is 14 away. Rewriting it as a fraction and we get
`(1)/(14)`. The decimal is 0.07142857142.

Now, put 7 and 0.07142857142 together and we get 7.07142857142. Rounding that, we get 7.07.

The real value of Root 50 is 7.071067811865475, so the decimals were really close.