Square Root of 1960

The square root of 1960 is expressed as √1960 in the radical form and as (1960)^½ or (1960)^0.5 in the exponent form. The square root of 1960 rounded up to 9 decimal places is 44.271887242. It is the positive solution of the equation x² = 1960. We can express the square root of 1960 in its lowest radical form as 14 √10.

Square Root of 1960: 44.27188724235731
Square Root of 1960 in exponential form: (1960)^½ or (1960)^0.5
Square Root of 1960 in radical form: √1960 or 14 √10

Square Root of 1960

1.	What is the Square Root of 1960?
2.	How to find the Square Root of 1960?
3.	Is the Square Root of 1960 Irrational?
4.	FAQs

What is the Square Root of 1960?

The square root of 1960, (or root 1960), is the number which when multiplied by itself gives the product as 1960. Therefore, the square root of 1960 = √1960 = 14 √10 = 44.27188724235731.

☛ Check: Square Root Calculator

How to Find Square Root of 1960?

Square Root of 1960 by Long Division Method

Value of √1960 by Long Division Method

Explanation:

Forming pairs: 19 and 60
Find a number Y (4) such that whose square is <= 19. Now divide 19 by 4 with quotient as 4.
Bring down the next pair 60, to the right of the remainder 3. The new dividend is now 360.
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 <= 360. After finding Z, together 8 and Z (4) form a new divisor 84 for the new dividend 360.
Divide 360 by 84 with the quotient as 4, giving the remainder = 360 - 84 × 4 = 360 - 336 = 24.
Now, let's find the decimal places after the quotient 44.
Bring down 00 to the right of this remainder 24. The new dividend is now 2400.
Add the last digit of quotient to divisor i.e. 4 + 84 = 88. To the right of 88, find a digit Z (which is 2) such that 88Z × Z <= 2400. Together they form a new divisor (882) for the new dividend (2400).
Divide 2400 by 882 with the quotient as 2, giving the remainder = 2400 - 882 × 2 = 2400 - 1764 = 636.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 1960.

Therefore, the square root of 1960 by long division method is 44.2 approx.

Is Square Root of 1960 Irrational?

The actual value of √1960 is undetermined. The value of √1960 up to 25 decimal places is 44.27188724235731064798451. Hence, the square root of 1960 is an irrational number.

☛ Also Check:

Square Root of 40 - √40 = 6.32456
Square Root of 50 - √50 = 7.07107
Square Root of 12 - √12 = 3.46410
Square Root of 25 - √25 = 5
Square Root of 361 - √361 = 19
Square Root of 44 - √44 = 6.63325
Square Root of 74 - √74 = 8.60233

Square Root of 1960 Solved Examples

Example 1: Solve the equation x² − 1960 = 0

Solution:

x² - 1960 = 0 i.e. x² = 1960
x = ±√1960
Since the value of the square root of 1960 is 44.272,
⇒ x = +√1960 or -√1960 = 44.272 or -44.272.
Example 2: If the area of a square is 1960 in². Find the length of the side of the square.

Solution:

Let 'a' be the length of the side of the square.
⇒ Area of the square = a² = 1960 in²
⇒ a = ±√1960 in
Since length can't be negative,
⇒ a = √1960 = 44.272 in
Example 3: If the surface area of a cube is 11760 in². Find the length of the side of the cube.

Solution:

Let 'a' be the length of the side of the cube.
⇒ Area of the cube = 6a² = 11760 in²
⇒ a = ±√1960 in
Since length can't be negative,
⇒ a = √1960
We know that the square root of 1960 is 44.272.
⇒ a = 44.272 in

go to slide go to slide go to slide

Ready to see the world through math’s eyes?

Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

Book a Free Trial Class

FAQs on the Square Root of 1960

What is the Value of the Square Root of 1960?

The square root of 1960 is 44.27188.

Why is the Square Root of 1960 an Irrational Number?

Upon prime factorizing 1960 i.e. 2³ × 5¹ × 7², 2 is in odd power. Therefore, the square root of 1960 is irrational.

If the Square Root of 1960 is 44.272. Find the Value of the Square Root of 19.6.

Let us represent √19.6 in p/q form i.e. √(1960/100) = 19.6/10 = 4.427. Hence, the value of √19.6 = 4.427

Is the number 1960 a Perfect Square?

The prime factorization of 1960 = 2³ × 5¹ × 7². Here, the prime factor 2 is not in the pair. Therefore, 1960 is not a perfect square.

What is the Square Root of -1960?

The square root of -1960 is an imaginary number. It can be written as √-1960 = √-1 × √1960 = i √1960 = 44.271i
where i = √-1 and it is called the imaginary unit.

What is the Square Root of 1960 in Simplest Radical Form?

We need to express 1960 as the product of its prime factors i.e. 1960 = 2 × 2 × 2 × 5 × 7 × 7. Therefore, √1960 = √2 × 2 × 2 × 5 × 7 × 7 = 14 √10. Thus, the square root of 1960 in the lowest radical form is 14 √10.

Math worksheets and
visual curriculum