In this lesson, you'll learn how to solve square root problems. Remember √ is the symbol for square root.
It's that figure which squared (i.e. multiplied by itself) gives n.
If n is a square number (perfect square) (1, 4, 9, 16, 25, 36, 49, 64, 81, 100 etc), its square root is a whole number.
However, if n is a non-square number (2, 3, 5, 6, 7, 8, 10, 11, 12, 13 etc), its square root is a decimal and your calculator will prove useful!
Let's take a look at the square roots of square numbers first.
What figure squared (times by itself) gives 1?
The answer is 1 because
1² = 1 x 1 = 1
Which figure squared (multiplied by itself) gives 4?
The answer's 2
2² = 2 x 2 = 4
What figure squared (times by itself) gives 9?
The answer's 3
3² = 3 x 3 = 9
Here are the workings out!
See how these square roots are whole numbers?
Reach for your calculator, enter 2 followed by the square root (√) button
The display should show
You've just worked out √2 - the square root of 2.
Notice how it's a decimal and this applies to the square roots of other non-square numbers - for instance, check the following on your calculator
As you can see, finding the square root of a number n may or may not require use of your calculator depending on whether n is a square number (square root = whole number) or a non-square number (square root = decimal).
For related topics click:
Square root problems