The square root of 6 is expressed as √6 in the radical form and together (6)½ or (6)0.5 in the exponent form. The square root of 6 rounded as much as 7 decimal places is 2.4494897. That is the optimistic solution of the equation x2 = 6.

You are watching: Whats the square root of 6

Square source of 6: 2.449489742783178Square source of 6 in exponential form: (6)½ or (6)0.5Square root 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 source 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 deserve to be composed in different 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 one irrational number v non-terminating digits.

How to discover the Square root of 6?


There are 2 main 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 source of 6 is 2.449

Long Division

Step 1: do a pair of digits (by put a bar over them) indigenous one's ar as displayed in the figure.Step 5: The next divisor will certainly be 44 + 4 and thedividendwill be 2400. Us will proceed doing the same measures till we gain the number of decimals us require.

So our long department now looks prefer this:

*

Therefore, the square source of 6 is 2.449

Explore square roots using 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 actually 2 real roots, +2.449 and also -2.449

Solved Examples


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

Solution:

Total surface Area is 36cm2Surface Area of every 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 covered by a human running at 6√6 miles per hour in 1 hour?

Solution:

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


Get price >

go to slidego come slidego to slide


*


Have inquiries on straightforward mathematical concepts?
Become a problem-solving champ making use of logic, no rules. Discover the why behind math through our certified experts

Book a totally free Trial Class


FAQs top top 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 root of 6 an Irrational Number?

Upon prime 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 root of -6 is an imagine number. It have the right to be composed as √-6 = √-1 × √6 = i √6 = 2.449iwhere i = √-1 and it is dubbed the imagine unit.

Is the number 6 a Perfect Square?

The prime factorization of 6 = 21 × 31. Here, the prime element 2 is not in the pair. Therefore, 6 is no a perfect square.

What is the worth of 1 square root 6?

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

See more: What Is The Hawaiian Word For Love You” In Hawaiian? 18 Ways To Say I Love You In Hawaiian

What is the Square that the Square source of 6?

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


Explore math program
Explore coding program
Make your child normally math minded
Book A free Class