Square Root of 1260 - How to Find Square Root of 1260? [Solved] (2024)

The square root of 1260 is expressed as √1260 in the radical form and as (1260)^½ or (1260)^0.5 in the exponent form. The square root of 1260 rounded up to 6 decimal places is 35.496479. It is the positive solution of the equation x² = 1260. We can express the square root of 1260 in its lowest radical form as 6 √35.

Square Root of 1260: 35.4964786985977
Square Root of 1260 in exponential form: (1260)^½ or (1260)^0.5
Square Root of 1260 in radical form: √1260 or 6 √35

1.	What is the Square Root of 1260?
2.	How to find the Square Root of 1260?
3.	Is the Square Root of 1260 Irrational?
4.	FAQs

What is the Square Root of 1260?

The square root of 1260, (or root 1260), is the number which when multiplied by itself gives the product as 1260. Therefore, the square root of 1260 = √1260 = 6 √35 = 35.4964786985977.

☛ Check: Square Root Calculator

How to Find Square Root of 1260?

Value of √1260 by Long Division Method

Explanation:

Forming pairs: 12 and 60
Find a number Y (3) such that whose square is <= 12. Now divide 12 by 3 with quotient as 3.
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 (3) to the divisor (3) i.e. 3 + 3 = 6. To the right of 6, find a digit Z (which is 5) such that 6Z × Z <= 360. After finding Z, together 6 and Z (5) form a new divisor 65 for the new dividend 360.
Divide 360 by 65 with the quotient as 5, giving the remainder = 360 - 65 × 5 = 360 - 325 = 35.
Now, let's find the decimal places after the quotient 35.
Bring down 00 to the right of this remainder 35. The new dividend is now 3500.
Add the last digit of quotient to divisor i.e. 5 + 65 = 70. To the right of 70, find a digit Z (which is 4) such that 70Z × Z <= 3500. Together they form a new divisor (704) for the new dividend (3500).
Divide 3500 by 704 with the quotient as 4, giving the remainder = 3500 - 704 × 4 = 3500 - 2816 = 684.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 1260.

Therefore, the square root of 1260 by long division method is 35.4 approx.

Is Square Root of 1260 Irrational?

The actual value of √1260 is undetermined. The value of √1260 up to 25 decimal places is 35.49647869859769625540397. Hence, the square root of 1260 is an irrational number.

☛ Also Check:

Square Root of 12 - √12 = 3.46410
Square Root of 63 - √63 = 7.93725
Square Root of 109 - √109 = 10.44031
Square Root of 240 - √240 = 15.49193
Square Root of 25 - √25 = 5
Square Root of 324 - √324 = 18
Square Root of 60 - √60 = 7.74597

Square Root of 1260 Solved Examples

Example 1: Solve the equation x² − 1260 = 0
Solution:
x² - 1260 = 0 i.e. x² = 1260
x = ±√1260
Since the value of the square root of 1260 is 35.496,
⇒ x = +√1260 or -√1260 = 35.496 or -35.496.
Example 2: If the area of a circle is 1260π in². Find the radius of the circle.
Solution:
Let 'r' be the radius of the circle.
⇒ Area of the circle = πr² = 1260π in²
⇒ r = ±√1260 in
Since radius can't be negative,
⇒ r = √1260
The square root of 1260 is 35.496.
⇒ r = 35.496 in
Example 3: If the surface area of a cube is 7560 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 = 7560 in²
⇒ a = ±√1260 in
Since length can't be negative,
⇒ a = √1260
We know that the square root of 1260 is 35.496.
⇒ a = 35.496 in

Show Solution >

go to slidego to slidego 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 1260

What is the Value of the Square Root of 1260?

The square root of 1260 is 35.49647.

Why is the Square Root of 1260 an Irrational Number?

Upon prime factorizing 1260 i.e. 2² × 3² × 5¹ × 7¹, 5 is in odd power. Therefore, the square root of 1260 is irrational.

What is the Square Root of -1260?

The square root of -1260 is an imaginary number. It can be written as √-1260 = √-1 × √1260 = i √1260 = 35.496i
where i = √-1 and it is called the imaginary unit.

Evaluate 18 plus 15 square root 1260

The given expression is 18 + 15 √1260. We know that the square root of 1260 is 35.496. Therefore, 18 + 15 √1260 = 18 + 15 × 35.496 = 18 + 532.447 = 550.447

If the Square Root of 1260 is 35.496. Find the Value of the Square Root of 12.6.

Let us represent √12.6 in p/q form i.e. √(1260/100) = 12.6/10 = 3.550. Hence, the value of √12.6 = 3.550

Is the number 1260 a Perfect Square?

The prime factorization of 1260 = 2² × 3² × 5¹ × 7¹. Here, the prime factor 5 is not in the pair. Therefore, 1260 is not a perfect square.