1 to 20 Square Root PDF, Value, Square Root Value List, PDF Download, Square Root Trick, Square Root Quiz Test

SUMMARY

## 1 to 20 Square Root

The Square Root of a number is the value that, when multiplying a number by itself, gives the number.

For example :

5×5 = 25, where 25 is the number and 5 is the square root of the number i.e. 25.

The 1 to 20 square root in radical form is expressed as √x and in an exponential form, we can express the square root as (x)½.

## Method to Calculate 1 to 20 Square Root

There are the following method to calculate square root :

### 1) Repeated Subtraction Method

In the Repeated Subtraction Method, we subtract the consecutive odd numbers from the number for which we are finding the square root. For example-

• 9 – 1 = 8
• 8 – 3 = 5
• 5 – 5 = 0

As you can see here we have subtracted 3 times so, √9 = 3.

### 2) Prime Factorization Method

In Prime Factorization Method, we find the prime factors of the number we are going to find the square root. Then we represent the number as the product of prime factors. For example-

16 = 2×2×2×2

After finding the prime factors we make pair of the common factors and take out the common factors.

16 = 22×22

16 = (2×2)2

16 = (4)2

√16 = 4

### 3) Estimation Method

In the Estimation Method, we find the nearest perfect square root to the number for which we are finding the square root. For example-

If we want to find the square root of 7.

Then 4 and 9 are the nearest perfect square numbers. We know that √4 = 2 and √9 = 3, so √7 value lies between 2 and 3. Now the square of 2.5 is 6.25 and the square of 3 is 9, so the value of √7 lies between 2.5 and 3. Now we find the square of 2.6 i.e., In the same way, we repeatedly assume values till we didn’t get our answer. So this is a very long process.

### 4) Long Division Method

In Long Division Method, we divide the large numbers into parts, or we can say that breaking the division problem into a sequence of easier steps. Using this method we can find the exact square root of any given number.

a) 9

b) 1.732

c) 1.4142

d) 30

a) 2.236

b) 49

c) 2.8284

d) 2.6457

a) 3.8729

b) 7

c) 3.7416

d) 3.4641

a) 4.3588

b) 4.1231

c) 4.2426

d) 4.4721

a) 64

b) 4

c) 8

d) 256

a) 16

b) 40

c) 2

d) 20

## Solved Examples of Square Root

### Q.1) Solve the equation √9 + √16 + √12.

Ans. Given : √9 + √16 + √12

= 3 + 4 + 3.4641

= 10.4641

### Q.2) Find the value of √16 using the repeated subtraction method.

Ans. As we know, in the repeated subtraction method we subtract the consecutive odd numbers.

16 – 1 = 15

15 – 3 = 12

12 – 5 = 7

7 – 7 = 0

As you can see here we have subtracted 16 four times so, √16 = 4.

Ans. 1

Ans. 4.4721

### Can a negative be in a square root?

Ans. No, Negative numbers don’t have real roots.

### Can zero be under square root?

Ans. Yes, the Square root of 0 is 0 like √0 = 0.

### What is the square root of a negative number?

Ans. Imaginary Number

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