Square Root of 3250
The square root of 3250 is expressed as √3250 in the radical form and as (3250)^{½} or (3250)^{0.5} in the exponent form. The square root of 3250 rounded up to 7 decimal places is 57.0087713. It is the positive solution of the equation x^{2} = 3250. We can express the square root of 3250 in its lowest radical form as 5 √130.
 Square Root of 3250: 57.0087712549569
 Square Root of 3250 in exponential form: (3250)^{½} or (3250)^{0.5}
 Square Root of 3250 in radical form: √3250 or 5 √130
1.  What is the Square Root of 3250? 
2.  How to find the Square Root of 3250? 
3.  Is the Square Root of 3250 Irrational? 
4.  FAQs 
What is the Square Root of 3250?
The square root of 3250, (or root 3250), is the number which when multiplied by itself gives the product as 3250. Therefore, the square root of 3250 = √3250 = 5 √130 = 57.0087712549569.
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How to Find Square Root of 3250?
Value of √3250 by Long Division Method
Explanation:
 Forming pairs: 32 and 50
 Find a number Y (5) such that whose square is <= 32. Now divide 32 by 5 with quotient as 5.
 Bring down the next pair 50, to the right of the remainder 7. The new dividend is now 750.
 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 7) such that 10Z × Z <= 750. After finding Z, together 10 and Z (7) form a new divisor 107 for the new dividend 750.
 Divide 750 by 107 with the quotient as 7, giving the remainder = 750  107 × 7 = 750  749 = 1.
 Now, let's find the decimal places after the quotient 57.
 Bring down 00 to the right of this remainder 1. The new dividend is now 100.
 Add the last digit of quotient to divisor i.e. 7 + 107 = 114. To the right of 114, find a digit Z (which is 0) such that 114Z × Z <= 100. Together they form a new divisor (1140) for the new dividend (100).
 Divide 100 by 1140 with the quotient as 0, giving the remainder = 100  1140 × 0 = 100  0 = 100.
 Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 3250.
Therefore, the square root of 3250 by long division method is 57.0 approximately.
Is Square Root of 3250 Irrational?
The actual value of √3250 is undetermined. The value of √3250 up to 25 decimal places is 57.00877125495689895680245. Hence, the square root of 3250 is an irrational number.
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 Square Root of 17  √17 = 4.12311
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 Square Root of 10  √10 = 3.16228
 Square Root of 12  √12 = 3.46410
 Square Root of 361  √361 = 19
 Square Root of 1000  √1000 = 31.62278
 Square Root of 39  √39 = 6.24500
Square Root of 3250 Solved Examples

Example 1: Solve the equation x^{2} − 3250 = 0
Solution:
x^{2}  3250 = 0 i.e. x^{2} = 3250
x = ±√3250
Since the value of the square root of 3250 is 57.009,
⇒ x = +√3250 or √3250 = 57.009 or 57.009. 
Example 2: If the area of a circle is 3250π in^{2}. Find the radius of the circle.
Solution:
Let 'r' be the radius of the circle.
⇒ Area of the circle = πr^{2} = 3250π in^{2}
⇒ r = ±√3250 in
Since radius can't be negative,
⇒ r = √3250
The square root of 3250 is 57.009.
⇒ r = 57.009 in 
Example 3: If the area of a square is 3250 in^{2}. 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 = a^{2} = 3250 in^{2}
⇒ a = ±√3250 in
Since length can't be negative,
⇒ a = √3250 = 57.009 in
FAQs on the Square Root of 3250
What is the Value of the Square Root of 3250?
The square root of 3250 is 57.00877.
Why is the Square Root of 3250 an Irrational Number?
Upon prime factorizing 3250 i.e. 2^{1} × 5^{3} × 13^{1}, 2 is in odd power. Therefore, the square root of 3250 is irrational.
What is the Square Root of 3250 in Simplest Radical Form?
We need to express 3250 as the product of its prime factors i.e. 3250 = 2 × 5 × 5 × 5 × 13. Therefore, √3250 = √2 × 5 × 5 × 5 × 13 = 5 √130. Thus, the square root of 3250 in the lowest radical form is 5 √130.
What is the Value of 1 square root 3250?
The square root of 3250 is 57.009. Therefore, 1 √3250 = 1 × 57.009 = 57.009.
What is the Square Root of 3250?
The square root of 3250 is an imaginary number. It can be written as √3250 = √1 × √3250 = i √3250 = 57.008i
where i = √1 and it is called the imaginary unit.
Evaluate 10 plus 17 square root 3250
The given expression is 10 + 17 √3250. We know that the square root of 3250 is 57.009. Therefore, 10 + 17 √3250 = 10 + 17 × 57.009 = 10 + 969.149 = 979.149