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:**16

**Square source of 256 in exponential form:**(256)½ or (256)0.5

**Square 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 = 16When 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)2

**Step 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.

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