One way to estimate the square root of any number is to find a whole number greater than the square root and another whole number less than the square root.
We will illustrate this with a couple of examples.
Example #1:
Estimate the square root of 17
We will find a whole number bigger than the square root of 17 and a whole number smaller than the square root of 17.
√17
<

√18

√17
<

√19

√17
<

√20

√17
<

√21

√17
<

√22

√17
<

√23

√17
<

√24

√17
<

√25

√16
<

√17

Example #2:
Estimate the square root of 102
We will find a whole number bigger than the square root of 102 and a whole number smaller than the square root of 102.
√101
<

√102

√100
<

√102

Notice that the square root of any number between 103 and 120 is not a whole number.
However, square root of 121 is a whole number since 11 times 11 = 121.
Therefore, the square of 121 will give us the whole number that we need that is bigger than square of 102.
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Dec 01, 16 06:27 AM
1. Think of any positive whole number. No fractions, no decimals,no percents. 2. Double that number. 3. Add 10 to that result in step 2. 4. Divide