The square source of 6 is expressed together √6 in the radical form and together (6)½ or (6)0.5 in the exponent form. The square root of 6 rounded approximately 7 decimal areas is 2.4494897. It is the optimistic solution that the equation x2 = 6.

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Square root of 6: 2.449489742783178Square root of 6 in exponential form: (6)½ or (6)0.5Square root of 6 in radical form: √6
1.What Is the Square source of 6?
2.Is the Square source of 6 reasonable or Irrational?
3.How to uncover the Square source of 6?
4.Important Notes
5.FAQs on Square root of 6

What Is the Square root of 6?

The square root of a number n is composed as √n. The square root of 6 deserve to be written in different ways.


Radical form: √6Decimal form: 2.449Exponent form: (6)1/2

Is the Square source of 6 reasonable or Irrational?

The square root of 6 is an irrational number v non-terminating digits.

How to find the Square source of 6?


There space 2 key methods we usage to uncover the square root of 6.

Prime Factorization

Prime Factorization

Now, let's discover the square root.√6 = √(2 × 3)√6 = √2 × √3= 1.414 × 1.732= 2.449

Therefore, the square source of 6 is 2.449

Long Division

Step 1: make a pair of digits (by put a bar end them) from one's location as shown in the figure.Step 5: The following divisor will be 44 + 4 and also thedividendwill it is in 2400. Us will continue doing the same actions till we gain the variety of decimals us require.

So our long department now looks favor this:

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Therefore, the square source of 6 is 2.449

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Important Notes

The square source of 6 = 2.449√6 is irrational and also is non-terminating.The square root of 6 has 2 actual roots, +2.449 and also -2.449

Solved Examples


Example 1: Kate has a cube. The area of all 6 sides of the cube is 36cm2. Assist her calculate the edge length of the cube.

Solution:

Total surface Area is 36cm2Surface Area of each side = 36/6 = 6cm2Edge length = Square root(6) = 2.45 cmTherefore, the edge length of the cube is 2.45cm.


Example 2: What will certainly be the distance spanned by a human being running at 6√6 miles every hour in 1 hour?

Solution:

Distance extended = speed × TimeTherefore, the human being covers a total distance that 6√6 × 1 = 14.697 × 1 = 14.697 miles


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FAQs top top the Square source of 6

What is the worth of the Square source of 6?

The square source of 6 is 2.44948.

Why is the Square source of 6 an Irrational Number?

Upon element factorizing 6 i.e. 21 × 31, 2 is in weird power. Therefore, the square root of 6 is irrational.

What is the Square source of -6?

The square root of -6 is an imaginary number. It can be composed as √-6 = √-1 × √6 = ns √6 = 2.449iwhere ns = √-1 and it is called the imagine unit.

Is the number 6 a Perfect Square?

The element factorization that 6 = 21 × 31. Here, the prime element 2 is not in the pair. Therefore, 6 is not a perfect square.

What is the value of 1 square source 6?

The square source of 6 is 2.449. Therefore, 1 √6 = 1 × 2.449 = 2.449.

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What is the Square of the Square root of 6?

The square the the square root of 6 is the number 6 itself i.e. (√6)2 = (6)2/2 = 6.


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