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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| 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.
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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.
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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.