Root 4 – Value, Meaning and Examples

Perhaps, the square root of 4 is the easiest to find. We know that 4 is a perfect square, and the value of root 4 is 2. So we can put it as, √4 = 2. This is not a positive number only. Root 4, when multiplied by itself, results in a composite number, 4. The value of root 4 is precisely equivalent to 2. However, the roots may be positive or negative, or we can say that the number has two roots. Therefore, root 4 is equal to ±2 or +2 and -2. A number when multiplied by itself gives the square of this number. 4 x 4 = 16, and sixteen is a square number.

Perfect and non-perfect squares

• Any number ending with 2, 3, 7, 8 in its unit’s place is not a perfect square.
• Numbers ending with 1, 4, 5, 6, 9 may be perfect squares.
• For instance, 25 is a perfect square of 5, whereas 35 is a non-perfect square!
• So, keep your eyes open when juggling between perfect and non-perfect squares.

The square root of 4

In mathematics, it is not hard to square a number since the computation is simple. However, the square root of a number is difficult to identify since the original squared number comes into the picture. You must now identify the original number multiplied by itself to obtain the square root. For instance, the square roots of 16 are +4 and -4.

But, how do we know this?

4 x 4 = 16 and (-4) x (-4) = 16. A positive number has a positive root, and a negative number also has a positive root.

Shifting our focus back to the topic of discussion in this article, 2 x 2 = 4 and (-2) x (-2) = 4. Therefore, √4  =  ±2

Square roots from 1 to 50

This table may come in handy as you can simplify your calculation and not waste time in long divisions to find the square roots of numbers from 1 to 50. 

Examples

Question 1: Find the value of the root of 400.

Solution: We know that the factors of 400 = 100 x 4.

So, √400 = √(100 x 4)

Now, we know that √4 = 2 and √100 = 10

Now, we can write the above equation by adding the values

√400 = 2 x 10

√400 = 20

Question 2: Find the square root of 4 by prime factorisation method?

Solution: √4 = √(2 x 2)

√4 = √2²

√4 = 2