The square root of 520 is expressed as √520 in the radical kind and together (520)½ or (520)0.5 in the exponent form. The square source of 520 rounded up to 8 decimal places is 22.80350850. The is the hopeful solution the the equation x2 = 520. We can express the square root of 520 in its lowest radical form as 2 √130.

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☛ Check: Square root Calculator ### Value of √520 by Long division Method

Explanation:

Forming pairs: 05 and 20Find a number Y (2) such the whose square is carry down the following pair 20, come the best of the remainder 1. The brand-new dividend is now 120.Add the critical digit that the quotient (2) come the divisor (2) i.e. 2 + 2 = 4. Come the right of 4, uncover a digit Z (which is 2) such the 4Z × Z divide 120 by 42 v the quotient together 2, giving the remainder = 120 - 42 × 2 = 120 - 84 = 36.Now, let"s find the decimal places after the quotient 22.Bring down 00 come the best of this remainder 36. The brand-new dividend is currently 3600.Add the last digit of quotient to divisor i.e. 2 + 42 = 44. To the right of 44, uncover a digit Z (which is 8) such that 44Z × Z division 3600 by 448 with the quotient together 8, providing the remainder = 3600 - 448 × 8 = 3600 - 3584 = 16.Bring under 00 again. Repeat over steps for finding more decimal locations for the square source of 520.

Therefore, the square source of 520 by long division method is 22.8 approximately.

☛ likewise Check:

Example 1: resolve the equation x2 − 520 = 0

Solution:

x2 - 520 = 0 i.e. X2 = 520x = ±√520Since the worth of the square root of 520 is 22.804,⇒ x = +√520 or -√520 = 22.804 or -22.804.

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## FAQs ~ above the Square root of 520

### What is the worth of the Square source of 520?

The square root of 520 is 22.8035.

### Why is the Square source of 520 one Irrational Number?

Upon prime factorizing 520 i.e. 23 × 51 × 131, 2 is in odd power. Therefore, the square root of 520 is irrational.

### What is the Square of the Square root of 520?

The square that the square root of 520 is the number 520 itself i.e. (√520)2 = (520)2/2 = 520.

### What is the Square root of -520?

The square root of -520 is an imagine number. It can be written as √-520 = √-1 × √520 = ns √520 = 22.803iwhere ns = √-1 and it is dubbed the imaginary unit.

### What is the Square source of 520 in simplest Radical Form?

We have to express 520 as the product that its prime components i.e. 520 = 2 × 2 × 2 × 5 × 13. Therefore, √520 = √2 × 2 × 2 × 5 × 13 = 2 √130. Thus, the square root of 520 in the shortest radical type is 2 √130.

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### What is the worth of 1 square source 520?

The square root of 520 is 22.804. Therefore, 1 √520 = 1 × 22.804 = 22.804.