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Square Root of 2601

The square root of 2601 is expressed as √2601 in the radical form and as (2601)^½ or (2601)^0.5 in the exponent form. The square root of 2601 is 51. It is the positive solution of the equation x² = 2601. The number 2601 is a perfect square.

Square Root of 2601: 51
Square Root of 2601 in exponential form: (2601)^½ or (2601)^0.5
Square Root of 2601 in radical form: √2601

Square Root of 2601

1.	What is the Square Root of 2601?
2.	How to find the Square Root of 2601?
3.	Is the Square Root of 2601 Rational?
4.	FAQs

What is the Square Root of 2601?

The square root of 2601, (or root 2601), is the number which when multiplied by itself gives the product as 2601. Therefore, the square root of 2601 = √2601 = 51.

☛ Check: Square Root Calculator

How to Find Square Root of 2601?

Square Root of 2601 by Long Division Method

Value of √2601 by Long Division Method

Explanation:

Forming pairs: 26 and 01
Find a number Y (5) such that whose square is <= 26. Now divide 26 by 5 with quotient as 5.
Bring down the next pair 01, to the right of the remainder 1. The new dividend is now 101.
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 1) such that 10Z × Z <= 101. After finding Z, together 10 and Z (1) form a new divisor 101 for the new dividend 101.
Divide 101 by 101 with the quotient as 1, giving the remainder = 101 - 101 × 1 = 101 - 101 = 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 2601 by long division method is 51.

Is Square Root of 2601 Rational?

The value of √2601 is 51. Hence, the square root of 2601 is a rational number.

☛ Also Check:

Square Root of 98 - √98 = 9.89949
Square Root of 625 - √625 = 25
Square Root of 784 - √784 = 28
Square Root of 29 - √29 = 5.38516
Square Root of 900 - √900 = 30
Square Root of 28 - √28 = 5.29150
Square Root of 68 - √68 = 8.24621

Square Root of 2601 Solved Examples

Example 1: Solve the equation x² − 2601 = 0

Solution:

x² - 2601 = 0 i.e. x² = 2601
x = ±√2601
Since the value of the square root of 2601 is 51,
⇒ x = +√2601 or -√2601 = 51 or -51.
Example 2: If the area of an equilateral triangle is 2601√3 in². Find the length of one of the sides of the triangle.

Solution:

Let 'a' be the length of one of the sides of the equilateral triangle.
⇒ Area of the equilateral triangle = (√3/4)a² = 2601√3 in²
⇒ a = ±√10404 in
Since length can't be negative,
⇒ a = √10404 = 2 √2601
We know that the square root of 2601 is 51.
⇒ a = 102 in
Example 3: If the area of a square is 2601 in². Find the length of the side of the square.

Solution:

Let 'a' be the length of the side of the square.
⇒ Area of the square = a² = 2601 in²
⇒ a = ±√2601 in
Since length can't be negative,
⇒ a = √2601 = 51 in

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FAQs on the Square Root of 2601

What is the Value of the Square Root of 2601?

The square root of 2601 is 51.

Why is the Square Root of 2601 a Rational Number?

Upon prime factorizing 2601 i.e. 3² × 17², we find that all the prime factors are in even power. This implies that the square root of 2601 is a positive integer. Therefore, the square root of 2601 is rational.

What is the Square Root of -2601?

The square root of -2601 is an imaginary number. It can be written as √-2601 = √-1 × √2601 = i √2601 = 51i
where i = √-1 and it is called the imaginary unit.

If the Square Root of 2601 is 51. Find the Value of the Square Root of 26.01.

Let us represent √26.01 in p/q form i.e. √(2601/100) = 26.01/10 = 5. Hence, the value of √26.01 = 5

Evaluate 7 plus 12 square root 2601

The given expression is 7 + 12 √2601. We know that the square root of 2601 is 51. Therefore, 7 + 12 √2601 = 7 + 12 × 51 = 7 + 612 = 619

What is the Value of 5 square root 2601?

The square root of 2601 is 51. Therefore, 5 √2601 = 5 × 51 = 255.

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