The square root of 3600 is expressed as √3600 in the radical create and also as (3600)½ or (3600)0.5 in the exponent create. The square root of 3600 is 60. It is the positive solution of the equation x2 = 3600. The number 3600 is a perfect square.

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Square Root of 3600: 60Square Root of 3600 in exponential form: (3600)½ or (3600)0.5Square Root of 3600 in radical form: √3600 1 What is the Square Root of 3600? 2 How to find the Square Root of 3600? 3 Is the Square Root of 3600 Rational? 4 FAQs

The square root of 3600, (or root 3600), is the number which when multiplied by itself gives the product as 3600. Thus, the square root of 3600 = √3600 = 60.

☛ Check: Square Root Calculator ### Value of √3600 by Long Division Method

Explanation:

Forming pairs: 36 and 00Find a number Y (6) such that whose square is Bring dvery own the next pair 00, to the appropriate of the remainder 0. The brand-new dividfinish is now 0.Add the last digit of the quotient (6) to the divisor (6) i.e. 6 + 6 = 12. To the best of 12, find a digit Z (which is 0) such that 12Z × Z Divide 0 by 120 with the quotient as 0, giving the remainder = 0 - 120 × 0 = 0 - 0 = 0.We speak the procedure since the remainder is currently 0 and also tright here are no more digits that can be carried down.

Because of this, the square root of 3600 by long department approach is 60.

## Is Square Root of 3600 Rational?

The worth of √3600 is 60. Hence, the square root of 3600 is a rational number.

☛ Also Check:

## Square Root of 3600 Solved Examples

Example 1: Solve the equation x2 − 3600 = 0

Solution:

x2 - 3600 = 0 i.e. x2 = 3600x = ±√3600Because the worth of the square root of 3600 is 60,⇒ x = +√3600 or -√3600 = 60 or -60.

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## FAQs on the Square Root of 3600

### What is the Value of the Square Root of 3600?

The square root of 3600 is 60.

### Why is the Square Root of 3600 a Rational Number?

Upon prime factorizing 3600 i.e. 24 × 32 × 52, we uncover that all the prime components are in even power. This means that the square root of 3600 is a positive integer. As such, the square root of 3600 is rational.

### Evaluate 12 plus 13 square root 3600

The provided expression is 12 + 13 √3600. We know that the square root of 3600 is 60. Because of this, 12 + 13 √3600 = 12 + 13 × 60 = 12 + 780 = 792

### What is the Value of 1 square root 3600?

The square root of 3600 is 60. Therefore, 1 √3600 = 1 × 60 = 60.

### What is the Square of the Square Root of 3600?

The square of the square root of 3600 is the number 3600 itself i.e. (√3600)2 = (3600)2/2 = 3600.

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### Is the number 3600 a Perfect Square?

The prime factorization of 3600 = 24 × 32 × 52. Here, all the numbers are in the power of 2. This indicates that the square root of 3600 is a positive integer. As such, 3600 is a perfect square.