Question

Approximate the value of each expression shown. Explain your reasoning.
a.√ 38
b. √ 79

Answer 1

a.√ 38 =
`6.164`

b. √ 79 =
`8.888`

Explanation:

Here we have , to find Approximate value of each expression shown.

We know that , A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root. Example: √36 = 6 (because 6 x 6 = 36)

a.√ 38

We know that value of √36 = 6 , and here we have √ 38 which value will be slightly greater then 6 Let's find out:

⇒
`√(38)`

⇒
`6.164`

b. √ 79

We know that value of √81 = 9 , and here we have √ 79 which value will be slightly less then 9 Let's find out:

⇒
`√(79)`

⇒
`8.888`