what is the square root of 150

Square root of 150 The square root of 150 is expressed as √150 in root form and (150) ½ or (150) 0.5 in power. The square root of 150 rounded to 9 decimal places is 12.247448714. It is a positive solution of the equation x2 = 150. We can represent the square root of 150 in its square root form as 5 √6.

  • Square root of 150: 12.24744871391589
  • Square root of 150 in exponential form: (150) or (150) 0.5
  • Square root of 150 in root form: 150 or 5 6

1. What is the square root of 150? 2. Is the square root of 150 Reasonable or Unreasonable? 3. How to Find the Square Root of 150? 4. Think Out of the Box! 5. Important Notes on Square Root of 150 6. Frequently Asked Questions about Square Root of 150

  • Square root of 150 = 150½ = 150
  • √150 = √ (a × a) is √150 = √ (12.247 × 12.247) or √ (-12.247 × -12.247) ⇒ √150 = ± 12.247
  • We know that on prime factors, 150 = 2 × 3 × 5 × 5. Therefore, in its simplest radical form √150 = √ (2 × 3 × 5 × 5) = 5√6

An irrational number is a real number that cannot be expressed as the ratio of two integers p/q. √150 = 12.24744871391589 and so the square root of 150 is an irrational number where the numbers after the decimal point go up to infinity. or any number that can be calculated in more than one way. Two of them are the approximation method and the long division method.

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Square root of 150 by approximation

  • Take two perfect squares that are both less than 150 and greater than 150. 144 < 150 < 169
  • 12 <√150 <13
  • Divide 150 by 12 or 13.
  • We divide by 13 150 13 = 11.53
  • Find the average of 11.53 and 13.
  • (11.53 + 13) / 2 = 24.53 2 = 12.265
  • 50 12.26

Square root of 150 by length division method

The long division method helps us to find the more exact value of the square root of any number. The following are the steps to evaluate the square root of 150 using the long division method.

  • Step 1: Write 1500000. Take the number in pairs from the right. We will have 50 pcs as a pair and 1 pcs stand alone. Now divide 1 by a number such that (number × number) by ≤ 1.
  • Take quotient = 1 and remainder = 0. Double the quotient. We get 2. We have 20 as our new divisor. Bring down 50 to split.
  • Step 2: Find a number such that (20 + that number) × that number gives the product ≤ 50. We get 22 × 2 = 44. Subtract this number from 50 and get a remainder of 6. Take two zeros. 600 is our new dividend.
  • 12 is our quotient. Duplicate it. 240 is our new divisor. Find a number such that (240 + number) × number gives 600 or less of it. We will treat 2 as a number. 242 × 2 = 484
  • Step 3: The quotient is 12.2 and the remainder is 116. Bring down the next pair of zeros. 11600 becomes the new dividend.
  • Double the quotient. 122 × 2 = 244. Take 2440 in place of the new divisor. Find a number such that (2440 + that number) × number ≤ 11600.
  • We find 2444 × 4 = 9776. Subtract 11600 from this number and get a remainder of 1824. Reduce 00.
  • Repeat the steps until we approximate the square root to 3 decimal places. 150 = 12.247
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