The square root of 650 is expressed as √650 in the radical form and as (650)½ or (650)0.5 in the exponent form. The square root of 650 rounded up to 8 decimal places is 25.49509757. It is the positive solution of the equation x2 = 650. We can express the square root of 650 in its lowest radical form as 5 √26.

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1.What is the Square Root of 650?
2.How to find the Square Root of 650?
3.Is the Square Root of 650 Irrational?
4.FAQs

What is the Square Root of 650?


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How to Find Square Root of 650?


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Value of √650 by Long Division Method

Explanation:

Forming pairs: 06 and 50Find a number Y (2) such that whose square is Bring down the next pair 50, to the right of the remainder 2. The new dividend is now 250.Add the last digit of the quotient (2) to the divisor (2) i.e. 2 + 2 = 4. To the right of 4, find a digit Z (which is 5) such that 4Z × Z Divide 250 by 45 with the quotient as 5, giving the remainder = 250 - 45 × 5 = 250 - 225 = 25.Now, let"s find the decimal places after the quotient 25.Bring down 00 to the right of this remainder 25. The new dividend is now 2500.Add the last digit of quotient to divisor i.e. 5 + 45 = 50. To the right of 50, find a digit Z (which is 4) such that 50Z × Z Divide 2500 by 504 with the quotient as 4, giving the remainder = 2500 - 504 × 4 = 2500 - 2016 = 484.Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 650.

Therefore, the square root of 650 by long division method is 25.4 approximately.


Is Square Root of 650 Irrational?


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Square Root of 650 Solved Examples


Example 1: Solve the equation x2 − 650 = 0

Solution:

x2 - 650 = 0 i.e. x2 = 650x = ±√650Since the value of the square root of 650 is 25.495,⇒ x = +√650 or -√650 = 25.495 or -25.495.


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FAQs on the Square Root of 650

What is the Value of the Square Root of 650?

The square root of 650 is 25.49509.

Why is the Square Root of 650 an Irrational Number?

Upon prime factorizing 650 i.e. 21 × 52 × 131, 2 is in odd power. Therefore, the square root of 650 is irrational.

What is the Value of 19 square root 650?

The square root of 650 is 25.495. Therefore, 19 √650 = 19 × 25.495 = 484.407.

Is the number 650 a Perfect Square?

The prime factorization of 650 = 21 × 52 × 131. Here, the prime factor 2 is not in the pair. Therefore, 650 is not a perfect square.

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What is the Square Root of 650 in Simplest Radical Form?

We need to express 650 as the product of its prime factors i.e. 650 = 2 × 5 × 5 × 13. Therefore, √650 = √2 × 5 × 5 × 13 = 5 √26. Thus, the square root of 650 in the lowest radical form is 5 √26.

Evaluate 9 plus 10 square root 650

The given expression is 9 + 10 √650. We know that the square root of 650 is 25.495. Therefore, 9 + 10 √650 = 9 + 10 × 25.495 = 9 + 254.951 = 263.951