The square root of 14 is expressed together √14 in the radical kind and together (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 hopeful 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 source of 14?
2.IsSquare root of 14Rational or Irrational?
3.How to discover the Square root of 14?
4.Thinking out of the Box!
5.Important note on Square source of 14
6.FAQs on Square root of 14

What Is the Square source of 14?

4 have the right to be expressed together 22 = 2×2. Here 2is referred to as the square source of 4 and also we know that 4is a perfect square. Non-square numbers likewise have a square root, the only difference is the they are not totality numbers.Similarly the square root of 14 is expressed as √14in the radical type 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 that cannot it is in expressed as a ratio of two integers is an irrational number. The decimal form of the irrational number is non-terminating (i.e., it never ends) and non-recurring (i.e., the decimal part of the number never repeats a pattern). Currently let united state look at the square root of 14.

√14= 3.74165738677.

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


How to discover the Square root of 14?


Square source of 14ByLong Division

The value of the square source of 14by long department method is composed of the complying with steps:

Step 1: beginning from the right, we will certainly pair up the number by placing a bar over them.Repeat this process to obtain the decimal areas you want.

The photo shows action by step long division method to discover the square root of 14

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Can you try and express the square root of 15in a comparable way? The price of √15should be 3.872.

Simplified Radical Form

To simplify the square source of 14, permit us very first express 14 together a product that its element factors. The element 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 a root together √14?Since (-(√14)2=14, have the right to we say the -√14is also 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 real roots that √14are±3.74165.

Square root of 14Solved Examples


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

Solution

Negative square root cannot be real numbers. -√14is a real number. But √-14is an imaginary number. Hence, they are not the same.

-√14and √-14are not same.


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

Solution:

Let united state take an instance of a perfect square number and also extend the very same logic come clarify her doubt. We understand that 3 is a square root of 9 because when 3 is multiplied to itself it provides 9. However what about -3? As, -3×-3 = 9. Therefore, -3 is likewise a square source of 9. Walking 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 worth of the Square source of 14?

The square root of 14 is 3.74165.

Why is the Square root of 14 an Irrational Number?

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

What is the worth of 15 square source 14?

The square source 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 imagine number. It deserve to be composed as √-14 = √-1 × √14 = ns √14 = 3.741iwhere ns = √-1 and also it is referred to as the imagine unit.

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Evaluate 15 add to 6 square source 14

The given 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 worth of the Square source of 0.14.

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


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