The square root of 256 is expressed together √256 in the radical kind and together (256)½ or (256)0.5 in the exponent form. The square source of 256 is 16. It is the optimistic solution that the equation x2 = 256. The number 256 is a perfect square.

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Square source of 256: 16Square source of 256 in exponential form: (256)½ or (256)0.5Square source of 256 in radical form: √256
1.What Is the Square root of 256?
2.Is Square root of 256 reasonable or Irrational?
3.How to uncover the Square source of 256?
4.FAQs ~ above Square source of 256

The square source of a number is the number which, when multiplied come itself, offers the original number.For any two actual numbers, a and b, a2 = b and a = √b. Let us understand the calculation of the square root of 256.The square root of 256 is the number which, when multiplied v itself, will give the result as 256.The square source of 256 is the inverse procedure of squaring 16.If 162 = 256, then √256 = 16

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When we multiply two an adverse signs, we acquire a positive sign.The multiplication of (-16) with itself will offer the an outcome as 256. Therefore, (-16) is likewise a square source of 256.We will study the mathematical strategy to calculate the square source of 256 in the complying with sections.

Is Square source of 256 reasonable or Irrational?


The square source of 256 is either 16 or (-16).13 and also -13 can be expressed as 16/1 and also -16/1.Both the numbers deserve to be stood for in the form of a rational number.Thus, the square root of 256 is a reasonable number.

How to discover the Square root of 256?


The square root of 256 can be calculated using various methods together as: Prime Factorization and Long department method.

Square source of 256 by element factorization method

Step 3. Pick one element from each pair and they can be composed in the form: 256 = (2 × 2 × 2 × 2)2Step 4. Thus, following the regulation of exponents, we get, √256 = √(162) = 16½ Thus we evaluate √256 = + 16 or -16

Square source of 256 by Long division Method


Step 1. Write 256 as presented in the figure. Start grouping the number in bag from the best end. 56 is the very first pair from the right. Step 2: uncover the biggest number that when multiplied with itself will offer 2 or a smaller number closest to 2. Below it is 1. Do the department and obtain the remainder.Step 3: bring down the next pair the numbers. Below it is 56. Multiply the quotient 1 by 2 and also write that in the new divisor"s location or the 10s place. The number 2 will certainly be inserted in the tens place.Step 4: Find the largest number that as soon as kept in ~ ones location with 2 at tens ar multiplied with that very same number gives a result 156 or a number closest to 156. Step 5: Get the next quotient ar as 6. Currently we acquire our brand-new divisor together 26 as 6 × 26 = 156. Complete the division and acquire the remainder. Here we get 0. Thus, the procedure of division completes here. 

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Explore square roots using illustrations and also interactive examples.


Challenging Questions:


Roger to be planning come cover a square table that has an area the √256 square inches. He uncovered a cloth of area 18 square inches. How plenty of inches does the cloth hang end the table on each side if the cloth is centered ~ above the table?

Important Notes


The square root of 256 is expressed together √256 in the radical type and together 256½ in the exponential form.

Square source of 256 resolved Examples


Example 1: Chris orders a pizza whose surface area is 803.84 square inches. What is the radius of the pizza that chris ordered?

Solution:

The total surface area the Chris"s pizza = 803.84 square inches

The surface area of a circle = π × r2 

3.141 × r2 = 803.84

r2 = 803.84 ÷ 3.141 = 256

r = √256

r = +16 or -16

Since the radius can not be negative, we require to consider the confident value.

Therefore, the radius of the pizza that Chris ordered = 16 inches.


Example 2: Veronica renders as many bracelets in a day as the variety of days the she has actually taken to do 256 of them. If she has made a full of 256 bracelets, how many arm bands has she made and also how countless days has actually she taken?

Solution: 

Number of bracelets made = variety of days taken.

Let the number of bracelets made every day = n

Let the variety of days taken = n

n × n = 256

n2 = 256

n = 16

Thus, she has taken 16 work to make 16 arm bands per day. 


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FAQs top top the Square root of 256

What is the worth of the Square root of 256?

The square source of 256 is 16.

Why is the Square root of 256 a reasonable Number?

Upon prime factorizing 256 i.e. 28, we discover that all the prime components are in even power. This implies that the square root of 256 is a confident integer. Therefore, the square source of 256 is rational.

Is the number 256 a Perfect Square?

The element factorization the 256 = 28. Here, every the numbers are in the power of 2. This indicates that the square root of 256 is a confident integer. Therefore, 256 is a perfect square.

What is the Square root of -256?

The square root of -256 is an imaginary number. It have the right to be written as √-256 = √-1 × √256 = i √256 = 16iwhere ns = √-1 and also it is dubbed the imagine unit.

What is the worth of 4 square root 256?

The square root of 256 is 16. Therefore, 4 √256 = 4 × 16 = 64.

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If the Square root of 256 is 16. Discover the worth of the Square source of 2.56.

Let us represent √2.56 in p/q form i.e. √(256/100) = 16/10 = 1.6. Hence, the value of √2.56 = 1.6