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

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Square source of 4: 2Square source of 4 in exponential form: (4)½ or (4)0.5Square root of 4 in radical form: √4
1.What Is the Square root 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 very first understand the definition of square root. Thesquare root of a number is the number that,when multiply to itself, offers the product as the initial number.

Consider the example:

22= 2× 2is 4

Here 2is dubbed the square root of 4. 4 is a perfect square. So the square source of 4is 2. Non-square numbers also have a square root, just that they are notwhole numbers.For real numbers aand b,

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

The square source of 4in the radical type is express as√4and inexponentform, that is expressed together 4½The square source of 4 is the inverse operation of squaring 2 and -2

2 × 2 = 4(-2)× (-2) = 4

Is the Square root of 4Rational orIrrational?


A number that deserve to be expressed as a proportion of twointegers, i.e., p/q, q = 0 is dubbed arational number.Now let united state look in ~ the square source of 4.√4= 2 = 2/1Thus, √4is a rational number.


How to find the Square source of 4?


There are various ways to calculation the square root of 4. The first method is by element factorization and the second is the traditional long division method.

Prime Factorization

Let us find the square source of 4using prime factorization:

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

Let united state now try finding the square root of 4by the long department method!

Square root of 4ByLong Division

Let united state follow the steps to uncover the square source of 4by lengthy division.

Step 1: team the digits right into pairs (for digits to the left of the decimal point, pair castle from right to left) by put a bar over it. Since our number is 4, permit us stand for it asinside the department symbol.Step 2: discover the largest number such that once you multiply it with itself, the product is much less than or equal to 4. We recognize that2× 2 is 4and is equal to 4. Now let us divide 4by 2

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

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Explore Square roots making use of 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 form is expressed as √4.In exponent form, the square root of 4is expressed together 4½The genuine roots ofx2- 4 = 0 are±2.