Square Root of 900 | Top Q&A

Square root of 900 The square root of 900 is expressed as √900 in root form and (900) ½ or (900) 0.5 in exponentiation. The square root of 900 is 30. It is the positive solution of the equation x2 = 900. The number 900 is a perfect square.

Square root of 900: 30
Square root of 900 in exponential form: (900) or (900) 0.5
Square root of 900 in root form: 900

1. What is the square root of 900? 2. Is the square root of 900 Reasonable or Unreasonable? 3. Important Notes about Square Root of 900 4. How to Find Square Root of 900? 5. Think clearly! 6. Frequently Asked Questions about Square Root of 900 The square root of a number is a number whose square is the original number. For example, to find the square root of 900 (denoted as √900), we must think of a number multiplied by itself to give 900. In short, a square root is a number that, when squared, gives the number initial .You can remember it this way: As the square moves from side to side of the equation, it becomes the square root. 302 = 900 ⇒ √900 = 30. Thus, the square root of 900 is 30.

If we do not have the same pairs of numbers as above, we cannot use prime factorization to find the exact square root. Instead, we must use the long division method.

The prime factorization method is used to write the square root of an imperfect square number in its simplest root form.

We can find the square root of 900 using various methods.

Repeated subtraction

Element

Estimates and approximations

Long Division

If you want to learn more about each of these methods, you can learn it here. Since we can see that 900 is a perfect square, we can find its square root using prime factors easily.

Square root of 900 using prime factors

The prime factor of 900 that can be found is 2 × 2 × 3 × 3 × 5 × 5. To find the square root of 900, we take a number from each pair of similar numbers and multiply them. Therefore, 900 = (2 × 2 × 5 × 5 × 3 × 3) = 2 × 5 × 3 = 30

Square Root of 900 by Long Division

The square root of 900 can be found using long division as follows: Think of a number that, when multiplied by itself, gives a number less than or equal to 900, or a number very close to 900.Since the remainder is 0 we don’t need to continue the long division and we take the quotient (which is 30) as the result.

Can the value of √900 also be -30? Hint: Think about what (−30) 2 is.
Is √ − 900 a real number? Think if there is any real number whose square is negative.

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