The square root of 14 is expressed as √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 areas is 3.74166. It is the confident solution of 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 find the Square source of 14?
4.Thinking the end of the Box!
5.Important notes on Square source of 14
6.FAQs top top Square source of 14

What Is the Square source of 14?

4 deserve to be expressed as 22 = 2×2. Below 2is dubbed the square source of 4 and we know that 4is a perfect square. Non-square numbers likewise have a square root, the only difference is the they space not whole numbers.Similarly the square source of 14 is expressed together √14in the radical type and together 14½in the exponent form. The square source of 14 rounded come 5 decimal places is+3.74165, -3.74165.


Is the Square root of 14Rational orIrrational?


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

√14= 3.74165738677.

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


How to uncover the Square source of 14?


Square root of 14ByLong Division

The worth of the square source of 14by long department method consists of the complying with steps:

Step 1: beginning from the right, we will pair increase the digits by placing a bar above them.Repeat this procedure to obtain the decimal locations you want.

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

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

Simplified Radical Form

To simplify the square source of 14, allow us first express 14 together a product the its prime factors. The prime factorization the 14 = 2× 7. Therefore, √14is in the lowest type 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 friend think that a quadratic equation which has a root as √14?Since (-(√14)2=14, deserve to we say that -√14is additionally a square source of 14?

Important Notes:


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

Square root of 14Solved Examples


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

Solution

Negative square root cannot be actual numbers. -√14is a genuine number. Yet √-14is an imaginary number. Hence, they space not the same.

-√14and √-14are no same.


Example 2: Joel had actually a doubt. That knew that 6.403is the square source of 14 but wanted to recognize if -6.403is additionally a square root of 14? have the right to you help him?

Solution:

Let united state take an example of a perfect square number and also extend the same logic to clarify her doubt. We understand that 3 is a square source of 9 because when 3 is multiplied to chin it offers 9. Yet what around -3? As, -3×-3 = 9. Therefore, -3 is additionally a square root of 9. Going by the very 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 root 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 value of 15 square root 14?

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

What is the Square root of -14?

The square source of -14 is an imaginary number. It have the right to be created as √-14 = √-1 × √14 = i √14 = 3.741iwhere i = √-1 and it is dubbed the imaginary unit.

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Evaluate 15 to add 6 square source 14

The provided expression is 15 + 6 √14. We understand 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 value of the Square source 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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