A day full of math games & activities. Find one near you.

Square Root of 1201

The square root of 1201 is expressed as √1201 in the radical form and as (1201)^½ or (1201)^0.5 in the exponent form. The square root of 1201 rounded up to 5 decimal places is 34.65545. It is the positive solution of the equation x² = 1201.

Square Root of 1201: 34.655446902326915
Square Root of 1201 in exponential form: (1201)^½ or (1201)^0.5
Square Root of 1201 in radical form: √1201

Square Root of 1201

1.	What is the Square Root of 1201?
2.	How to find the Square Root of 1201?
3.	Is the Square Root of 1201 Irrational?
4.	FAQs

What is the Square Root of 1201?

The square root of 1201, (or root 1201), is the number which when multiplied by itself gives the product as 1201. Therefore, the square root of 1201 = √1201 = 34.655446902326915.

☛ Check: Square Root Calculator

How to Find Square Root of 1201?

Square Root of 1201 by Long Division Method

Value of √1201 by Long Division Method

Explanation:

Forming pairs: 12 and 01
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 01, to the right of the remainder 3. The new dividend is now 301.
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 4) such that 6Z × Z <= 301. After finding Z, together 6 and Z (4) form a new divisor 64 for the new dividend 301.
Divide 301 by 64 with the quotient as 4, giving the remainder = 301 - 64 × 4 = 301 - 256 = 45.
Now, let's find the decimal places after the quotient 34.
Bring down 00 to the right of this remainder 45. The new dividend is now 4500.
Add the last digit of quotient to divisor i.e. 4 + 64 = 68. To the right of 68, find a digit Z (which is 6) such that 68Z × Z <= 4500. Together they form a new divisor (686) for the new dividend (4500).
Divide 4500 by 686 with the quotient as 6, giving the remainder = 4500 - 686 × 6 = 4500 - 4116 = 384.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 1201.

Therefore, the square root of 1201 by long division method is 34.6 approx.

Is Square Root of 1201 Irrational?

The actual value of √1201 is undetermined. The value of √1201 up to 25 decimal places is 34.65544690232691256961666. Hence, the square root of 1201 is an irrational number.

☛ Also Check:

Square Root of 61 - √61 = 7.81025
Square Root of 2 - √2 = 1.41421
Square Root of 125 - √125 = 11.18034
Square Root of 63 - √63 = 7.93725
Square Root of 30 - √30 = 5.47723
Square Root of 1024 - √1024 = 32
Square Root of 40 - √40 = 6.32456

Square Root of 1201 Solved Examples

Example 1: Solve the equation x² − 1201 = 0

Solution:

x² - 1201 = 0 i.e. x² = 1201
x = ±√1201
Since the value of the square root of 1201 is 34.655,
⇒ x = +√1201 or -√1201 = 34.655 or -34.655.
Example 2: If the area of a circle is 1201π in². Find the radius of the circle.

Solution:

Let 'r' be the radius of the circle.
⇒ Area of the circle = πr² = 1201π in²
⇒ r = ±√1201 in
Since radius can't be negative,
⇒ r = √1201
The square root of 1201 is 34.655.
⇒ r = 34.655 in
Example 3: If the surface area of a sphere is 4804π in². Find the radius of the sphere.

Solution:

Let 'r' be the radius of the sphere.
⇒ Area of the sphere = 4πr² = 4804π in²
⇒ r = ±√1201 in
Since radius can't be negative,
⇒ r = √1201
The square root of 1201 is 34.655.
⇒ r = 34.655 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 1201

What is the Value of the Square Root of 1201?

The square root of 1201 is 34.65544.

Why is the Square Root of 1201 an Irrational Number?

The number 1201 is prime. This implies that the number 1201 is pairless and is not in the power of 2. Therefore, the square root of 1201 is irrational.

What is the Value of 10 square root 1201?

The square root of 1201 is 34.655. Therefore, 10 √1201 = 10 × 34.655 = 346.554.

Evaluate 15 plus 7 square root 1201

The given expression is 15 + 7 √1201. We know that the square root of 1201 is 34.655. Therefore, 15 + 7 √1201 = 15 + 7 × 34.655 = 15 + 242.588 = 257.588

Is the number 1201 a Perfect Square?

The number 1201 is prime. This implies that the square root of 1201 cannot be expressed as a product of two equal integers. Therefore, the number 1201 is not a perfect square.

What is the Square Root of -1201?

The square root of -1201 is an imaginary number. It can be written as √-1201 = √-1 × √1201 = i √1201 = 34.655i
where i = √-1 and it is called the imaginary unit.

Math worksheets and
visual curriculum