The square source of 500 is expressed as √500 in the radical form and together (500)½ or (500)0.5 in the exponent form. The square root of 500 rounded as much as 8 decimal areas is 22.36067977. The is the hopeful solution that the equation x2 = 500. We can express the square source of 500 in its shortest radical kind as 10 √5.

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Square root of 500: 22.360679774997898Square root of 500 in exponential form: (500)½ or (500)0.5Square root of 500 in radical form: √500 or 10 √5
1.What Is the Square root of 500?
2.Is Square source of 500 rational or Irrational?
3.How to find the Square root of 500?
4.FAQs top top Square root of 500

What is The Square root of 500?


The square root of 500 is written as √500 and also can be simplified to 10√5.The square root of 500 in decimal form is 22.3606.

Is Square root of 500 reasonable or Irrational?


The square source of 500 is not an integer and also a rational number is a number that deserve to be stood for in the form of p/q whereby q ≠ 0. As the square root of 500 cannot be written in the type of p/q. Hence, the square source of 500 is one irrational number.


How to uncover the Square root of 500?


We will certainly now discover the square source of 500 making use of the below two methods:

Square source of 500 making use of Approximation Method

The 2 consecutive perfect squares amongst which 500 lies space 484 (222) and also 529 (232).So, the whole number component of the square root of 500 is 22.The decimal component can be figured out by the formula: (Given number – smaller sized perfect square) / (Greater perfect square – smaller sized perfect square) = (500 – 484)/(529 – 484) = 16/45 = 0.35.So, the approximated value of the square root of 500 by the approximation method is 22.35.

Square root of 500 By long Division

Now we will certainly calculate the square root of 500 through the long division method.

Pair the digits from the best side in pairs of 2 by placing a bar on height of them. In the case of 500, we will have two bag 00 and also 5(pairing indigenous right).Now we have to find a number(y) who square is ≤ 5. The value of z will certainly be 2 as 2 × 2 = 4≤ 5.Drag the pair of zero (new dividend becomes 100) and also find a number (a) such the 4a × a ≤ 100. The value of a comes out to it is in 2.Now, add a decimal in the dividend component (100) and quotient component (22) simultaneously. Also, include 3 bag of zero in the dividend component after the decimal and repeat the over step for the various other three bag of zero together well.

So, we acquire the value of the square source of √500 = 22.360 through the long division method.

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Important Notes:


The number 500 is no a perfect square.The square root of 500 is an irrational number.