Square root of 4 – What is Value of Root 4?

Square Root of 4: Square root is the reverse process of doing a square of a number. So, here to find the square root of 4, we need to find the number whose square is 4.

Brajesh Last updated on October 10th, 2024 02:00 pm Leave a comment

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Square Root of 4

Square Root of 4: Finding the Square root of a number is finding a number that when multiplied by itself gives the number whose square root we are looking for. In simpler words, we can say that square root is the reverse process of doing a square of a number. So, here to find the square root of 4, we need to find the number whose square is 4.

What is the Square Root of 4 Calculating Method?

According to the mathematical operations, Square root of a number x is a number y such that y² = x. Or we can say that, a number y whose square (the product of the number by itself, or we can write it as y × y or -y × -y) is x.

The Square root of any number is represented by the symbol ${\sqrt {~^{~}}}$ . Any number which will be placed under this sign ( ${\sqrt {~^{~}}}$ ) will automatically be reduced to its square root. For example, if x is a number and it is written as $f(x)={\sqrt {x}}$ , then we have find a number y, whose square is x, i.e. y² = x. Then ±y will be the square root of x, and hence the required value.

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4 Square Root

To find the square root of a number, we find a number whose square is the given number. Sometimes, the number is small and the square root can be found out easily, but sometimes there are big numbers and we cannot find the square root just by looking at it. For that, we find the factors of the given number, whose square root we need to find and then, we find all the factors of the number. Then, we arrange the numbers in such a way that they are distributed in two equal sets of factors. Then each set of numbers represent the square root of given number.

For example, We are given a number A, and the factors of A are x × y × z × z × y × x. Then, we see here that we can distribute the factors as two sets of x × y × z, and hence the square root of A is the number obtained by the product of x, y, and z.

Also the negative set of the product of x, y, and z will also be the square root of A. Therefore, every square has two roots, one positive and one negative.

Therefore, (x × y × z) and -(x × y × z) are the two square roots of A.

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What is the square root of 4 answer?

As we have seen above that to find the square root of a number, we find a number whose square is the given number. And in order to do so, we need to find the factors of the given number, (here the number is 4) and distribute them equally. So, finding the factors of 4,

4 = 2 × 2

So, here we have two sets of 2.

Therefore, the square root of 4 is 2.

Also, we know that 4 can be written as

4 = -2 × -2

So, here we have two sets of -2.

Therefore, -2 is also the square root of 4.

Hence, the square root of 4,

√(4) = ± 2

FAQs

How do you find 4 roots?

A number's fourth root is the same as its square root's fourth root. Symbolically, the fourth root is also shown by multiplying the radical by 4.

How do you simplify square root of 4?

To simplify the square root of 4, to find the square root of a number, we find a number whose square is the given number. And in order to do so, we need to find the factors of the given number, (here the number is 4) and distribute them equally, i.e. 4 = 2 × 2. Hence square root of 4 is 2.

How do I find square root?

Finding the Square root of a number is finding a number that when multiplied by itself gives the number whose square root we are looking for. In simpler words we can say that square root is the reverse process of doing a square of a number.

What is the Value of the Square Root of 4?

The value of square root of 4 is 2.

Why is √ 4 a irrational number?

Since 2 is a whole number and all whole numbers are rational, the provided number, 4, equals 2. Additionally, it can be written as 2 1, indicating that it is a rational number. √4 is not an irrational number as a result.

About the Author

Brajesh Yadav

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Hi, I am Brajesh (M.Tech, MCA), I Professional Educator having 3 years of experience in school education sector. Aim to provide JEE, NEET, CUET, and Other Entrance exams information in a simple way to help students find clarity and confidence. I provide here easily accessible content on Exam Notifications, Syllabus, Admit Cards, and Results.