The square root of 14 is expressed as √14 in the radical kind and as (14)½ or (14)0.5 in the exponent form. The square root of 14 rounded approximately 5 decimal locations is 3.74166. It is the confident solution of the equation x2 = 14.

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Square root of 14: 3.7416573867739413Square root of 14 in exponential form: (14)½ or (14)0.5Square source of 14 in radical form: √14
1.What Is the Square root of 14?
2.IsSquare root of 14Rational or Irrational?
3.How to discover the Square root of 14?
4.Thinking the end of the Box!
5.Important note on Square source of 14
6.FAQs on Square source of 14

What Is the Square source of 14?

4 deserve to be expressed together 22 = 2×2. Right here 2is called the square root of 4 and also we know that 4is a perfect square. Non-square numbers additionally have a square root, the only distinction is the they room not entirety numbers.Similarly the square root of 14 is expressed together √14in the radical form and as 14½in the exponent form. The square root of 14 rounded come 5 decimal areas is+3.74165, -3.74165.


Is the Square root of 14Rational orIrrational?


A number the cannot it is in expressed together a proportion of 2 integers is one irrational number. The decimal kind of the irrational number is non-terminating (i.e., it never ever ends) and also non-recurring (i.e., the decimal component of the number never ever repeats a pattern). Now let us look at the square root of 14.

√14= 3.74165738677.

Do girlfriend think the decimal component stops after ~ 3.74165738677? No, it is never-ending and also you cannot an alert a sample in the decimal part.Hence, √14is one irrational number.


How to find the Square root of 14?


Square source of 14ByLong Division

The value of the square source of 14by long division method is composed of the adhering to steps:

Step 1: beginning from the right, we will pair up the digits by putting a bar above them.Repeat this process to get the decimal locations you want.

The photo shows step by action long department method to find the square root of 14

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Can you shot and refer the square root of 15in a similar way? The answer of √15should it is in 3.872.

Simplified Radical Form

To leveling the square root of 14, allow us an initial express 14 together a product of its prime factors. The prime factorization that 14 = 2× 7. Therefore, √14is in the lowest form and cannot be streamlined further. Thus, we have expressed the square root of 14 in the radical form.

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Think Tank:


Can girlfriend think of a quadratic equation which has actually a root as √14?Since (-(√14)2=14, can we say that -√14is additionally a square source of 14?

Important Notes:


The square root of 14 is expressed together √14in the radical form.In the exponent form, the square source of 14is expressed together 14½.The genuine roots that √14are±3.74165.

Square root of 14Solved Examples


Example 1: Allan called his friends the the worth of -√14is same as the value of √-14. What execute you think?

Solution

Negative square source cannot be genuine numbers. -√14is a real number. However √-14is an imaginary number. Hence, they space not the same.

-√14and √-14are not same.


Example 2: Joel had a doubt. That knew the 6.403is the square source of 14 but wanted to recognize if -6.403is additionally a square source of 14? deserve to you assist him?

Solution:

Let united state take an example of a perfect square number and also extend the exact same logic to clarify her doubt. We recognize that 3 is a square source of 9 since when 3 is multiplied to chin it provides 9. Yet what around -3? As, -3×-3 = 9. Therefore, -3 is also a square root of 9. Walk by the exact same logic,-3.741 isthe square source of 14.


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FAQs top top the Square source of 14

What is the value of the Square source of 14?

The square root of 14 is 3.74165.

Why is the Square source of 14 one Irrational Number?

Upon element factorizing 14 i.e. 21 × 71, 2 is in weird power. Therefore, the square source of 14 is irrational.

What is the worth of 15 square root 14?

The square source of 14 is 3.742. Therefore, 15 √14 = 15 × 3.742 = 56.125.

What is the Square source of -14?

The square source of -14 is an imaginary number. It deserve to be written as √-14 = √-1 × √14 = i √14 = 3.741iwhere i = √-1 and also it is called the imagine unit.

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Evaluate 15 to add 6 square source 14

The given expression is 15 + 6 √14. We know that the square root of 14 is 3.742. Therefore, 15 + 6 √14 = 15 + 6 × 3.742 = 15 + 22.450 = 37.450

If the Square source of 14 is 3.742. Find the value of the Square root of 0.14.

Let us stand for √0.14 in p/q form i.e. √(14/100) = 0.14/10 = 0.374. Hence, the worth of √0.14 = 0.374


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