The square root of 6 is expressed together √6 in the radical kind and together (6)½ or (6)0.5 in the exponent form. The square root of 6 rounded up to 7 decimal locations is 2.4494897. It is the hopeful solution the 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 source of 6 in radical form: √6
1.What Is the Square source of 6?
2.Is the Square source of 6 rational or Irrational?
3.How to discover the Square source of 6?
4.Important Notes
5.FAQs ~ above Square root of 6

What Is the Square root of 6?

The square root of a number n is written as √n. The square source of 6 have the right to be written 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 one irrational number through non-terminating digits.

How to uncover the Square source of 6?


There are 2 key methods we usage to uncover the square source 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 root of 6 is 2.449

Long Division

Step 1: make a pair of number (by put a bar end them) indigenous one's ar as presented in the figure.Step 5: The following divisor will be 44 + 4 and thedividendwill it is in 2400. Us will continue doing the same measures till we get the variety of decimals we require.

So our long division now looks like this:

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Therefore, the square root of 6 is 2.449

Explore square roots making use of illustrations and interactive examples


Important Notes

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

Solved Examples


Example 1: Kate has actually a cube. The area of every 6 political parties of the cube is 36cm2. Help her calculation the edge size of the cube.

Solution:

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


Example 2: What will be the distance extended by a human running in ~ 6√6 miles every hour in 1 hour?

Solution:

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


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FAQs ~ above the Square root of 6

What is the value of the Square root of 6?

The square root 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 strange power. Therefore, the square source of 6 is irrational.

What is the Square source of -6?

The square source of -6 is an imagine number. It deserve to be composed as √-6 = √-1 × √6 = i √6 = 2.449iwhere i = √-1 and it is dubbed the imaginary 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 worth of 1 square source 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 root of 6?

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


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