The square source of 6 is expressed together √6 in the radical type and together (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 optimistic solution the 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 source of 6 in radical form: √6
1.What Is the Square root of 6?
2.Is the Square source of 6 reasonable or Irrational?
3.How to discover the Square root of 6?
4.Important Notes
5.FAQs ~ above Square root of 6

What Is the Square root of 6?

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


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

Is the Square source of 6 rational or Irrational?

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

How to find the Square source of 6?


There are 2 main methods we use to find 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 root of 6 is 2.449

Long Division

Step 1: make a pair of digits (by place a bar over them) native one's ar as displayed in the figure.Step 5: The next divisor will be 44 + 4 and also thedividendwill be 2400. Us will proceed doing the same actions till we get the variety of decimals us require.

So our long department now looks favor this:

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Therefore, the square root of 6 is 2.449

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Important Notes

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

Solved Examples


Example 1: Kate has a cube. The area of all 6 sides 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 size = Square root(6) = 2.45 cmTherefore, the edge size of the cube is 2.45cm.


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

Solution:

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


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FAQs on the Square source of 6

What is the worth of the Square source 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 odd power. Therefore, the square root of 6 is irrational.

What is the Square root of -6?

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

Is the number 6 a Perfect Square?

The prime factorization that 6 = 21 × 31. Here, the prime variable 2 is not in the pair. Therefore, 6 is no 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 source of 6?

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


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