The square root of 224 deserve to be stood for in three different forms that space decimal form, radical form, exponential form. The radical form of 224 is the most commonly used representation of the square source of 224. The square that 224 can be reasonable or irrational. Now, we will certainly calculate the square source of 224 using various approaches and also for much better understanding will resolve sample problems as well.

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Square root of 224: √224 = 14.96662Square of 224: (224)2 = 50,176
 1 What Is the Square source of 224? 2 Is Square source of 224 rational or Irrational? 3 How to discover the Square root of 224? 4 Important note on Square root of 224 5 FAQs ~ above Square root of 224

The square root of 224 in decimal type is 14.96662The square root of 224 is created as √224 in radical form.The square root of 224 is created as (224)1/2 in exponential form.

Rational numbers space numbers that can be composed in the kind of p/q whereby q ≠ 0.And the square root of 224 cannot be written in the kind of p/q.Hence, the square source of 224 is an irrational number.

### Square source of 224 making use of Prime administer Method

Prime determinants of 224 in pairs: (2 × 2) × (2 × 2) × 2 × 7Square source of 224: √224 = √((2 × 2)2 × 2 × 7) = (2 × 2)√(2 × 7) = 4√14

### Square source of 224 By long Division

Start separating the digits from the ideal side right into pairs of two by drawing a line on peak of them. In the instance of 224, we have actually two pairs 24 and also 2.Now, uncover a number(z) whose square is ≤ 2. The worth of z will certainly be 1 together 1 × 1 = 1 ≤ 2.Drag under the following pair (new dividend i do not care 124) and also find a number (n) such that 2n × n ≤ 124. The worth of n comes out to it is in 4.Now, include a decimal in the dividend (224) and quotient (14) simultaneously. Also, add 3 pairs of zero in the dividend after the decimal (224. 00 00 00) and repeat the over step because that the staying three pairs of zero.

So, we gain the worth of the square source of √224 = 14.966 through the long division method.

Explore square roots making use of illustrations and interactive examples

Important Notes:

The square source of 224 is one irrational number.The number 224 is no a perfect square.

## Square root of 224 addressed Examples

Example 1: By which the smallest number 224 have to be multiplied to make it a perfect square?

Solution:To make 224 a perfect square we have to make the strength of 2 and 7 even number in the element factorization of 224. And also the element factorization that 224: 25 × 7.So, to do it a perfect square we need to multiply through 14 climate the power of 2 and also 7 will be also numbers.

Example 2: What number have to Ria include to 224 to make it a perfect square?

Solution:The square root worth of 224 lie in between 14 and 15.The square value of 15 is 225.By including 1 come 224 we have 225.224 + 1 = 225225 is a perfect square number.

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