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.
Dec 11, 17 08:45 AM
Learn how to estimate fractions with this easy to follow lesson.
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Dec 11, 17 08:45 AM
Learn how to estimate fractions with this easy to follow lesson.
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.