The square root of 14 is expressed together √14 in the radical type and as (14)½ or (14)0.5 in the exponent form. The square source of 14 rounded as much as 5 decimal locations is 3.74166. The is the positive solution the the equation x2 = 14.

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

What Is the Square source of 14?

4 deserve to be expressed together 22 = 2×2. Here 2is dubbed the square root of 4 and we recognize that 4is a perfect square. Non-square numbers additionally have a square root, the only distinction is that they room not totality numbers.Similarly the square root of 14 is expressed together √14in the radical type and together 14½in the exponent form. The square source of 14 rounded to 5 decimal areas is+3.74165, -3.74165.


Is the Square root of 14Rational orIrrational?


A number the cannot be expressed together a ratio of two integers is one irrational number. The decimal type 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 in ~ the square source of 14.

√14= 3.74165738677.

Do you think the decimal component stops after ~ 3.74165738677? No, that is never-ending and also you cannot notice a pattern in the decimal part.Hence, √14is an irrational number.


How to find the Square source of 14?


Square source of 14ByLong Division

The worth of the square source of 14by long division method consists of the following steps:

Step 1: starting from the right, we will pair up the digits by placing a bar above them.Repeat this procedure to get the decimal areas you want.

The picture shows step by step long division method to find the square root of 14

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Can you shot and refer the square source of 15in a comparable way? The prize of √15should it is in 3.872.

Simplified Radical Form

To simplify the square source of 14, permit 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 can not be streamlined further. Thus, we have expressed the square source of 14 in the radical form.

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Think Tank:


Can girlfriend think of a quadratic equation which has actually a root together √14?Since (-(√14)2=14, deserve to we say the -√14is additionally a square source of 14?

Important Notes:


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

Square root of 14Solved Examples


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

Solution

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

-√14and √-14are no same.


Example 2: Joel had a doubt. He knew that 6.403is the square source of 14 yet wanted to know if -6.403is also a square root of 14? can you help him?

Solution:

Let us take an instance of a perfect square number and extend the very same logic come clarify she doubt. We recognize that 3 is a square source of 9 since when 3 is multiply to chin it offers 9. But what around -3? As, -3×-3 = 9. Therefore, -3 is additionally a square source of 9. Walking by the exact same logic,-3.741 isthe square root of 14.


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FAQs on the Square root of 14

What is the value of the Square source of 14?

The square source 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 strange power. Therefore, the square root 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 root of -14 is an imagine number. It have the right to be created as √-14 = √-1 × √14 = ns √14 = 3.741iwhere ns = √-1 and it is called the imaginary unit.

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Evaluate 15 plus 6 square source 14

The provided expression is 15 + 6 √14. We recognize 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 root of 14 is 3.742. Find the worth of the Square root of 0.14.

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


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