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Square Root of 2020

The square root of 2020 is expressed as √2020 in the radical form and as (2020)^½ or (2020)^0.5 in the exponent form. The square root of 2020 rounded up to 8 decimal places is 44.94441011. It is the positive solution of the equation x² = 2020. We can express the square root of 2020 in its lowest radical form as 2 √505.

Square Root of 2020: 44.94441010848846
Square Root of 2020 in exponential form: (2020)^½ or (2020)^0.5
Square Root of 2020 in radical form: √2020 or 2 √505

Square Root of 2020

1.	What is the Square Root of 2020?
2.	How to find the Square Root of 2020?
3.	Is the Square Root of 2020 Irrational?
4.	FAQs

What is the Square Root of 2020?

The square root of 2020, (or root 2020), is the number which when multiplied by itself gives the product as 2020. Therefore, the square root of 2020 = √2020 = 2 √505 = 44.94441010848846.

☛ Check: Square Root Calculator

How to Find Square Root of 2020?

Square Root of 2020 by Long Division Method

Value of √2020 by Long Division Method

Explanation:

Forming pairs: 20 and 20
Find a number Y (4) such that whose square is <= 20. Now divide 20 by 4 with quotient as 4.
Bring down the next pair 20, to the right of the remainder 4. The new dividend is now 420.
Add the last digit of the quotient (4) to the divisor (4) i.e. 4 + 4 = 8. To the right of 8, find a digit Z (which is 4) such that 8Z × Z <= 420. After finding Z, together 8 and Z (4) form a new divisor 84 for the new dividend 420.
Divide 420 by 84 with the quotient as 4, giving the remainder = 420 - 84 × 4 = 420 - 336 = 84.
Now, let's find the decimal places after the quotient 44.
Bring down 00 to the right of this remainder 84. The new dividend is now 8400.
Add the last digit of quotient to divisor i.e. 4 + 84 = 88. To the right of 88, find a digit Z (which is 9) such that 88Z × Z <= 8400. Together they form a new divisor (889) for the new dividend (8400).
Divide 8400 by 889 with the quotient as 9, giving the remainder = 8400 - 889 × 9 = 8400 - 8001 = 399.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 2020.

Therefore, the square root of 2020 by long division method is 44.9 approximately.

Is Square Root of 2020 Irrational?

The actual value of √2020 is undetermined. The value of √2020 up to 25 decimal places is 44.94441010848846372919628. Hence, the square root of 2020 is an irrational number.

☛ Also Check:

Square Root of 200 - √200 = 14.14214
Square Root of 26 - √26 = 5.09902
Square Root of 729 - √729 = 27
Square Root of 17 - √17 = 4.12311
Square Root of 106 - √106 = 10.29563
Square Root of 256 - √256 = 16
Square Root of 116 - √116 = 10.77033

Square Root of 2020 Solved Examples

Example 1: Solve the equation x² − 2020 = 0

Solution:

x² - 2020 = 0 i.e. x² = 2020
x = ±√2020
Since the value of the square root of 2020 is 44.944,
⇒ x = +√2020 or -√2020 = 44.944 or -44.944.
Example 2: If the area of a circle is 2020π in². Find the radius of the circle.

Solution:

Let 'r' be the radius of the circle.
⇒ Area of the circle = πr² = 2020π in²
⇒ r = ±√2020 in
Since radius can't be negative,
⇒ r = √2020
The square root of 2020 is 44.944.
⇒ r = 44.944 in
Example 3: If the area of an equilateral triangle is 2020√3 in². Find the length of one of the sides of the triangle.

Solution:

Let 'a' be the length of one of the sides of the equilateral triangle.
⇒ Area of the equilateral triangle = (√3/4)a² = 2020√3 in²
⇒ a = ±√8080 in
Since length can't be negative,
⇒ a = √8080 = 2 √2020
We know that the square root of 2020 is 44.944.
⇒ a = 89.889 in

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FAQs on the Square Root of 2020

What is the Value of the Square Root of 2020?

The square root of 2020 is 44.94441.

Why is the Square Root of 2020 an Irrational Number?

Upon prime factorizing 2020 i.e. 2² × 5¹ × 101¹, 5 is in odd power. Therefore, the square root of 2020 is irrational.

What is the Square Root of -2020?

The square root of -2020 is an imaginary number. It can be written as √-2020 = √-1 × √2020 = i √2020 = 44.944i
where i = √-1 and it is called the imaginary unit.

What is the Square Root of 2020 in Simplest Radical Form?

We need to express 2020 as the product of its prime factors i.e. 2020 = 2 × 2 × 5 × 101. Therefore, √2020 = √2 × 2 × 5 × 101 = 2 √505. Thus, the square root of 2020 in the lowest radical form is 2 √505.

Is the number 2020 a Perfect Square?

The prime factorization of 2020 = 2² × 5¹ × 101¹. Here, the prime factor 5 is not in the pair. Therefore, 2020 is not a perfect square.

If the Square Root of 2020 is 44.944. Find the Value of the Square Root of 20.2.

Let us represent √20.2 in p/q form i.e. √(2020/100) = 20.2/10 = 4.494. Hence, the value of √20.2 = 4.494

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