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Approximating Square Roots

Approximating Square Roots. September 5, 2012. Perfect Root. The square of a whole number is a perfect root. Square roots are sometimes written like: √16 = ± 4. How to find the square root of a Perfect Square.

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Approximating Square Roots

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  1. Approximating Square Roots September 5, 2012

  2. Perfect Root • The square of a whole number is a perfect root. • Square roots are sometimes written like: √16 = ± 4

  3. How to find the square root of a Perfect Square • Determine the number when multiplied by itself, will result in a perfect square. • For example:

  4. Name all of the perfect square numbers through 144.

  5. Example: 52 = 25 and (-5)2 = 25, so both 5 and -5 are square roots of 25. The principal square root of √25 is written or 5. The number √25 is a perfect square since is a whole number.

  6. Square Root • The opposite or inverse of squaring a number is taking the square root. • Symbol: √ • This symbol is called the radical

  7. It is essential to know how to approximate square root values when making comparisons of numbers.

  8. What about when it is not a perfect square? • Find the perfect squares that it is closest to. • Rule: • Find the nearest perfect square less than the number • Find the nearest perfect square more than the number • Compare the numbers

  9. I DOEstimate the Value of √41 • What number does it lies between • What number is it closest to:

  10. We DOFind the whole number closest to √27 • What number does it lies between • What number is it closest to:

  11. We Do Estimate the value of √18 • What number does it lies between • What number is it closest to:

  12. You DoFind the whole number closest to √88 • What number does it lies between • What number is it closest to:

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