The square source of 4 is expressed as √4 in the radical form and as (4)½ or (4)0.5 in the exponent form. It is the hopeful solution the the equation x2 = 4.

You are watching: Is the square root of 4 a rational number

Square root of 4: 2Square root of 4 in exponential form: (4)½ or (4)0.5Square root of 4 in radical form: √4
1.What Is the Square source of 4?
2.IsSquare source of 4Rational or Irrational?
3.How to find the Square root of 4?
4.FAQs top top Square source of 4

Let us an initial understand the meaning of square root. Thesquare root of a number is the number that,when multiplied to itself, provides the product as the initial number.

Consider the example:

22= 2× 2is 4

Here 2is called the square root of 4. 4 is a perfect square. So the square root of 4is 2. Non-square numbers additionally have a square root, simply that they room notwhole numbers.For genuine numbers aand b,

a2= ba=√bThis method that ais the second root ofb.

The square source of 4in the radical kind is to express as√4and inexponentform, that is expressed as 4½The square root of 4 is the inverse operation of squaring 2 and also -2

2 × 2 = 4(-2)× (-2) = 4

Is the Square source of 4Rational orIrrational?

A number that have the right to be expressed as a ratio of twointegers, i.e., p/q, q = 0 is dubbed arational number.Now let united state look at the square root of 4.√4= 2 = 2/1Thus, √4is a reasonable number.

How to discover the Square root of 4?

There are different ways to calculate the square source of 4. The an initial method is by element factorization and also the 2nd is the conventional long division method.

Prime Factorization

Let us uncover the square root of 4using prime factorization:

4 = 2× 2√4 = √22√4 = (22)½By the legislation of exponents, considering the powers alone, 2×½ = 1.(22)½= 2√4 = 2

Let united state now try finding the square source of 4by the long division method!

Square root of 4ByLong Division

Let united state follow the procedures to uncover the square root of 4by long division.

Step 1: group the digits right into pairs (for number to the left of the decimal point, pair castle from best to left) by placing a bar end it. Because our number is 4, allow us stand for it asinside the division symbol.Step 2: discover the biggest number such that as soon as you multiply it through itself, the product is much less than or equal to 4. We understand that2× 2 is 4and is equal to 4. Now let us divide 4by 2


Thus the complete procedure of the long department stopshere together the remainder is 0. Thus, the quotient 2isthe square root of 4.

See more: Espn 30 For 30 Broke Worksheet Answers, 30 For 30 Broke Worksheet Answers

Explore Square roots utilizing illustrations and interactive examples

Challenging Questions:

Evaluate the following:3√2 + 7√2 + 10√24√4 + 5√4 - 10√25

Important Notes:

The square source of 4 in the radical type is expressed as √4.In exponent form, the square root of 4is expressed together 4½The genuine roots ofx2- 4 = 0 are±2.