# 1 To 25 Square Root Value [PDF Download] | Square Roots from 1 to 25

1 to 25 Square Root Value PDF, Square Root Value List, Square Roots PDF Download, Square Root Quiz Test, Square Roots from 1 to 25

SUMMARY

## 1 to 25 Square Root

The Square Root of a number is just opposite the square of the number. If we multiply a number by itself, then the result we get is the original number.

For Example:

√9 = 3, If we multiply 3 by itself, we will get the original number i.e. 9, so here 3 is the square root of 9.

## 1 to 25 Square Root Chart

Also, Check:- Download 1 to 20 Cube Value PDF

## 1 to 25 Square Root in Radical Form

1 to 25 Square root in radical form is represented as √x, where x is the number.

In the exponential form, we represent the square root as x1/2.

For Example:

√16 = 161/2, √18, √7 etc.

## Methods to Calculate 1 to 25 Square Root

### 1) Prime Factorization Method

In the Prime Factorization method, we divide the given number into its prime factors and make a pair of similar factors such that both factors in each pair are equal. Then take one factor from each pair and find the product of the factor that was obtained by taking one factor from each pair. This product is the square root of the required number.

### 2) Long Division Method

The Long Division method is very helpful for finding the square root of large numbers. When we find the square root of large numbers using the prime factorization method, it becomes lengthy and difficult.

### 3) 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 till we get 0. The number of steps required to get zero is the square root of the number.

For Example:

25 – 1 = 24

24 – 3 = 21

21 – 5 = 16

16 – 7 = 9

9 – 9 = 0

Here, the number of steps is five. Hence √25 = 5.

### 4) Estimation Method

In the Estimation Method, we guess the actual value to make calculation easy and more realistic. We find the nearest perfect square value and then we use that value to calculate the square root of the required number.

## 1 to 25 Square Root Quiz

#### Q. What is the square root of 24?

a) 4.5825

b) 4.8989

c) 4.4721

d) 4.6904

Answer : (b) 4.8989

#### Q. What is the square root of 17?

a) 4.1231

b) 4.2426

c) 4.4721

d) 4.6904

Answer : (a) 4.1231

#### Q. What is the square root of 13?

a) 3.3166

b) 3.7416

c) 3.6055

d) 3.8729

Answer : (c) 3.6055

#### Q. What is the square root of 19?

a) 4.5825

b) 4.8989

c) 4.3588

d) 4.6904

Answer : (c) 4.3588

#### Q. What is the square root of 21?

a) 4.5825

b) 4.8989

c) 4.4721

d) 4.6904

Answer : (a) 4.5825

#### Q. What is the square root of 12?

a) 3.4641

b) 3.3166

c) 3.7416

d) 3.8729

Answer : (a) 3.4641

#### Q. What is the square root of 7?

a) 2.6457

b) 2.236

c) 2.8284

d) 2.4494

Answer : (a) 2.6457

## 1 to 25 Square Root Exercise

### Q. Find the radius of the circle which has an area of 25m2.

Ans.

Area of Circle = 25

πr2 = 25

r2 = 7.96

r = √7.96

r = 2.8213

Hence, the radius of the circle is 2.8213.

### Q. Find the value of √289.

Ans.

Prime factors of 289 = 17 x 17

289 = 172

√289 = 17

Hence, the value of √289 is 17.

### Q. Find the length of the sides of a square that has an area of 24m2.

Ans.

Area of Square = 24

(a)2 = 24

a = √24

a = 4.8989

Hence, the length of the square is 4.8989 m.

## FAQs

### How to find square root of a number?

Ans. We can find the square root of a number using one of the following methods-
i) Prime Factorization Method
ii) Long Division Method
iii) Estimation Method
iv) Repeated Subtraction Method

### What is the value of 1 to 25 square roots?

Ans. The values of 1 to 25 square root are 1, 1.414, 1.732, 2, 2.236, 2.449, 2.646, 2.828, 3, 3.162, 3.317, 3.464, 3.606, 3.742, 3.873, 4, 4.123, 4.243, 4.359, 4.472, 4.583, 4.690, 4.796, 4.899 and 5.

Ans. 1

### How to remember square roots 1-25

Ans. We can review square root & practice as well to remember.

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