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Wednesday, October 12, 2022

Square Root of 256

Square Root of 256 
 The square root of 256 is expressed as √ 256 in the radical form and as( 256) ½ or( 256)0.5 in the exponent form. The square root of 256 is 16. It's the positive result of the equation x2 = 256. The number 256 is a perfect forecourt. 
 
 Square Root of 256 16 
Square Root of 256 in exponential form( 256) ½ or( 256)0.5 
 Square Root of 256 in radical form √ 256 
 What Is the Square Root of 256? 
 The square root of a number is the number which, when multiplied to itself, gives the original number. 
For any two real figures, a and b, a2 = b and a = √b. 
 Let us understand the computation of the square root of 256. 
 The square root of 256 is the number which, when multiplied with itself, will give the result as 256. 
 The square root of 256 is the inverse operation of squaring 16. 
 Still, also √ 256 = 16 
 If 162 = 256. 
 
 When we multiply two negative signs, we get a positive sign. 
The addition of(- 16) with itself will give the result as 256. thus,(- 16) is also a square root of 256. 
 We'll study the fine approach to calculate the square root of 256 in the ensuing sections. 
 Is Square Root of 256 Rational or Irrational? 
 A rational number is defined as a number that can be expressed in the form of a quotient or division of two integers, i.e. p/ q where q isn't equal to 0. 
The square root of 256 is either 16 or(- 16). 
 13 and-13 can be expressed as16/1 and-16/ 1. 
 Both the figures can be represented in the form of a rational number. 
 therefore, the square root of 256 is a rational number. 
How to Find the Square Root of 256? 
 The square root of 256 can be calculated using different styles similar as Prime Factorization and Long Division system. 
 
 Square Root of 256 by Prime factorization system 
 Step 1 Determine the high factors using high factorization. Prime factorization of 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 
 Step 2. Group the high factors attained for 256 in dyads. 
 Step 3. Pick one factor from each brace and they can be written in the form 256 = ( 2 × 2 × 2 × 2) 2 
 Step 4. therefore, following the law of expounders, we get, √ 256 = √( 162) = 16 ½ 
 Therefore we estimate √ 256 = 16 or-16 
 Square Root of 256 by Long Division Method 
 Step 1. Write 256 as shown in the figure. Start grouping the number in dyads from the right end. 56 is the first brace from the right. 
 Step 2 Find the largest number that when multiplied with itself will give 2 or a lower number closest to 2. Then it's 1. Do the division and get the remainder. 
 Step 3 Bring down the coming brace of figures. Then it's 56. Multiply the quotient 1 by 2 and write it in the new divisor's place or the knockouts place. The number 2 will be placed in the knockouts place. 
 Step 4 Find the largest number that when kept at bones
 place with 2 at knockouts place multiplied with that same number gives a result 156 or a number closest to 156. 
 Step 5 Get the coming quotient place as 6. Now we get our new divisor as 26 as 6 × 26 = 156. Complete the division and get the remainder. Then we get 0. therefore, the process of division completes then. 

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