The square root of 160 is expressed together √160 in the radical kind and as (160)½ or (160)0.5 in the exponent form. The square root of 160 rounded up to 7 decimal locations is 12.6491106. The is the hopeful solution that the equation x2 = 160. We have the right to express the square source of 160 in its shortest radical type as 4 √10.

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Square source of 160: 12.649110640673518Square source of 160 in exponential form: (160)½ or (160)0.5Square source of 160 in radical form: √160 or 4 √10
1.What Is the Square root of 160?
2.Is Square source of 160 reasonable or Irrational?
3.How to uncover the Square root of 160?
4.Challenging Questions
5.FAQs top top Square root of 160

What Is the Square source of 160?


The square source of a number n is composed as √n. This number when squared or multiplied by itself outcomes in the initial number n. There space multiple means of writing square source of 160. Lock are provided as:

Radical form: √160 = 4√10Decimal form: 12.649Exponent form: (160)1/2

Is Square root of 160 rational or Irrational?


How to discover the Square root of 160?


There are only 2 methods to discover the square source of 160:

Long department MethodPrime Factorization

We cannot use the element factorization technique here, as 160 is a element number. Think around it?

Long department Method

The square root of 160 by long division method consists of the adhering to steps:

Step 1: Starting from the right, we will pair increase the digits 160 by putting a bar above 60 and 1 separately. We likewise pair the 0s in decimal in bag of 2 native left to right.Step 3: Drag a pair of 0’s down and fill it alongside to do the dividend 1600.Step 5: Repeat this process to obtain the decimal places you want.

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Therefore, the square source of 160 = 12.649

Prime Factorization

Next, this deserve to be lessened further to 150 = 25 × 5Finally, to find the root of this from here is an extremely easy, 

√150 = √(25 × 5) = 4√(2 × 5) = 4√10 = 4 × 3.162 = 12.649

Therefore, the Square root of 160 ≅ 12.649

Explore Square roots utilizing illustrations and interactive examples


Challenging Questions

What is the an unfavorable root the 160?Find the third root the 160?Express the below given number in the regards to square root of 160:25644100

Solved Examples


Example 1: Robert desires to purchase a brand-new painting for his life room. In the store, he find a square painting that has actually an area of 16000 sq cm. Exactly how long is each side the the painting?

Solution:

To uncover the next of the painting, we will have to find the square source of 160.The square source is √16000= 126.49.Hence, the side length of the painting is 126.49 cm.


Example 2: find the square source of 25600 utilizing the fact that square root of √160 =4√10.

Solution: 

25600 = 160 × 160√25600 = √(160 × 160) = (4√10 × 4√10)√25600 = 160Therefore, square source of 25600 is 160.


Example: If the area the a circle is 160π in2. Discover the radius the the circle.

Solution:

Let "r" it is in the radius of the circle.⇒ Area the the one = πr2 = 160π in2⇒ r = ±√160 inSince radius can"t be negative,⇒ r = √160The square root of 160 is 12.649.⇒ r = 12.649 in


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FAQs ~ above the Square source of 160

What is the value of the Square root of 160?

The square source of 160 is 12.64911.

Why is the Square root of 160 an Irrational Number?

Upon prime factorizing 160 i.e. 25 × 51, 2 is in weird power. Therefore, the square root of 160 is irrational.

What is the Square source of -160?

The square root of -160 is an imagine number. It can be created as √-160 = √-1 × √160 = i √160 = 12.649iwhere ns = √-1 and it is referred to as the imagine unit.

Is the number 160 a Perfect Square?

The prime factorization the 160 = 25 × 51. Here, the prime factor 2 is no in the pair. Therefore, 160 is no a perfect square.

What is the value of 15 square root 160?

The square root of 160 is 12.649. Therefore, 15 √160 = 15 × 12.649 = 189.737.

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What is the Square the the Square source of 160?

The square the the square root of 160 is the number 160 chin i.e. (√160)2 = (160)2/2 = 160.