The square root of 6 is expressed together √6 in the radical kind and as (6)½ or (6)0.5 in the exponent form. The square source of 6 rounded up to 7 decimal locations is 2.4494897. It is the positive solution that the equation x2 = 6.

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Square source 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 root of 6 rational or Irrational?
3.How to find the Square source of 6?
4.Important Notes
5.FAQs top top Square source of 6

What Is the Square source of 6?

The square root of a number n is composed as √n. The square source of 6 have the right to be composed in various ways.


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

Is the Square source of 6 rational or Irrational?

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

How to uncover the Square root of 6?


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

Prime Factorization

Prime Factorization

Now, let's uncover 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: do a pair of digits (by placing a bar over them) native one's ar as presented in the figure.Step 5: The following divisor will certainly be 44 + 4 and thedividendwill be 2400. We will continue doing the same measures till we get the variety of decimals us require.

So our long division now looks prefer this:

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Therefore, the square root of 6 is 2.449

Explore square roots making use of illustrations and also interactive examples


Important Notes

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

Solved Examples


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

Solution:

Total surface Area is 36cm2Surface Area of each side = 36/6 = 6cm2Edge size = 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 person running at 6√6 miles per hour in 1 hour?

Solution:

Distance covered = rate × TimeTherefore, the human covers a full distance of 6√6 × 1 = 14.697 × 1 = 14.697 miles


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FAQs top top the Square root of 6

What is the value of the Square source of 6?

The square source of 6 is 2.44948.

Why is the Square root of 6 one Irrational Number?

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

What is the Square root of -6?

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

Is the number 6 a Perfect Square?

The element factorization the 6 = 21 × 31. Here, the prime factor 2 is no in the pair. Therefore, 6 is no a perfect square.

What is the value of 1 square root 6?

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

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What is the Square the the Square source of 6?

The square that the square source of 6 is the number 6 chin i.e. (√6)2 = (6)2/2 = 6.


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