Answer
Check Explanation
Step-by-step explanation
There are two ways to evaluate this. The two methods are related too.
First method is just to use a calculator. This is the easier method.
√37 = 6.083, hence, √37 is between 6 and 7.
√2 = 1.414, hence, √2 is between 1 and 2.
√350 = 18.708, hence, √350 is between 18 and 19.
√500 = 22.361, hence, √500 is between 22 and 23.
√60 = 7.746, hence, √60 is between 7 and 8.
The second method is to note the closest perfect squares to these numbers. One wouldn't need a calculator for this.
Note that a perfect square is a number that has a whole number square root, that is, a number, whose square root is whole number.
√230
230 is bounded on both sides by the perfect squares 225 and 256.
225 = 15²
256 = 16²
So, √230 is between 15 and 16.
√190
190 is bounded on both sides by the perfect squares 169 and 196.
169 = 13²
196 = 14²
So, √190 is between 13 and 14.
√5
5 is bounded on both sides by the perfect squares 4 and 9.
4 = 2²
9 = 3²
So, √5 is between 2 and 3.
√115
115 is bounded on both sides by the perfect squares 100 and 121.
100 = 10²
121 = 11²
So, √115 is between 10 and 11.
√90
90 is bounded on both sides by the perfect square 81 and 100.
81 = 9²
100 = 10²
So, √90 is between 9 and 10.
Hope this Helps!!!