Answer:
11.51
Step-by-step explanation:
Perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, ...
To approximate the square root of a number, find the perfect squares immediately before and after the given number.
The perfect squares immediately before and after 70 are 64 and 81.
Therefore:
⇒ 64 < 70 < 81
⇒ √64 < √70 < √81
⇒ 8 < √70 < 9
Therefore, √70 is between 8 and 9.
We know that π ≈ 3.14.
⇒ 8 + 3.14 = 11.14
⇒ 9 + 3.14 = 12.14
Therefore:
11.14 < √70 + π < 12.14
As 70 is closer to 64 than 81, √70 will be closer to 8 than 9.
Therefore, π + √70 ≈ 11.51.
