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Square Root of 3025

The square root of 3025 is expressed as √3025 in the radical form and as (3025)^½ or (3025)^0.5 in the exponent form. The square root of 3025 is 55. It is the positive solution of the equation x² = 3025. The number 3025 is a perfect square.

Square Root of 3025: 55
Square Root of 3025 in exponential form: (3025)^½ or (3025)^0.5
Square Root of 3025 in radical form: √3025

Square Root of 3025

1.	What is the Square Root of 3025?
2.	How to find the Square Root of 3025?
3.	Is the Square Root of 3025 Rational?
4.	FAQs

What is the Square Root of 3025?

The square root of 3025, (or root 3025), is the number which when multiplied by itself gives the product as 3025. Therefore, the square root of 3025 = √3025 = 55.

☛ Check: Square Root Calculator

How to Find Square Root of 3025?

Square Root of 3025 by Long Division Method

Value of √3025 by Long Division Method

Explanation:

Forming pairs: 30 and 25
Find a number Y (5) such that whose square is <= 30. Now divide 30 by 5 with quotient as 5.
Bring down the next pair 25, to the right of the remainder 5. The new dividend is now 525.
Add the last digit of the quotient (5) to the divisor (5) i.e. 5 + 5 = 10. To the right of 10, find a digit Z (which is 5) such that 10Z × Z <= 525. After finding Z, together 10 and Z (5) form a new divisor 105 for the new dividend 525.
Divide 525 by 105 with the quotient as 5, giving the remainder = 525 - 105 × 5 = 525 - 525 = 0.
We stop the process since the remainder is now 0 and there are no more digits that can be brought down.

Therefore, the square root of 3025 by long division method is 55.

Is Square Root of 3025 Rational?

The value of √3025 is 55. Hence, the square root of 3025 is a rational number.

☛ Also Check:

Square Root of 100 - √100 = 10
Square Root of 400 - √400 = 20
Square Root of 361 - √361 = 19
Square Root of 27 - √27 = 5.19615
Square Root of 52 - √52 = 7.21110
Square Root of 85 - √85 = 9.21954
Square Root of 320 - √320 = 17.88854

Square Root of 3025 Solved Examples

Example 1: Solve the equation x² − 3025 = 0

Solution:

x² - 3025 = 0 i.e. x² = 3025
x = ±√3025
Since the value of the square root of 3025 is 55,
⇒ x = +√3025 or -√3025 = 55 or -55.
Example 2: If the surface area of a sphere is 12100π in². Find the radius of the sphere.

Solution:

Let 'r' be the radius of the sphere.
⇒ Area of the sphere = 4πr² = 12100π in²
⇒ r = ±√3025 in
Since radius can't be negative,
⇒ r = √3025
The square root of 3025 is 55.
⇒ r = 55 in
Example 3: If the area of a circle is 3025π in². Find the radius of the circle.

Solution:

Let 'r' be the radius of the circle.
⇒ Area of the circle = πr² = 3025π in²
⇒ r = ±√3025 in
Since radius can't be negative,
⇒ r = √3025
Square root of 3025 is 55.
⇒ r = 55 in

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FAQs on the Square Root of 3025

What is the Value of the Square Root of 3025?

The square root of 3025 is 55.

Why is the Square Root of 3025 a Rational Number?

Upon prime factorizing 3025 i.e. 5² × 11², we find that all the prime factors are in even power. This implies that the square root of 3025 is a positive integer. Therefore, the square root of 3025 is rational.

Is the number 3025 a Perfect Square?

The prime factorization of 3025 = 5² × 11². Here, all the numbers are in the power of 2. This implies that the square root of 3025 is a positive integer. Therefore, 3025 is a perfect square.

Evaluate 9 plus 6 square root 3025

The given expression is 9 + 6 √3025. We know that the square root of 3025 is 55. Therefore, 9 + 6 √3025 = 9 + 6 × 55 = 9 + 330 = 339

What is the Value of 17 square root 3025?

The square root of 3025 is 55. Therefore, 17 √3025 = 17 × 55 = 935.

What is the Square Root of -3025?

The square root of -3025 is an imaginary number. It can be written as √-3025 = √-1 × √3025 = i √3025 = 55i
where i = √-1 and it is called the imaginary unit.

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