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Aim: How can We Add and Subtract Radicals?

Aim: How can We Add and Subtract Radicals?. Do Now:. Simplify:. Model Problems. Simplify:. Addition. Not like terms - can’t be combined. Not like radicals - can’t be combined. ?. Addition. Find Common Denominator. Find Common Radicand. Simplify!. Rules for Addition of Radicals.

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Aim: How can We Add and Subtract Radicals?

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  1. Aim: How can We Add and Subtract Radicals? Do Now: Simplify:

  2. Model Problems Simplify:

  3. Addition Not like terms - can’t be combined Not like radicals - can’t be combined

  4. ? Addition Find Common Denominator Find Common Radicand Simplify!

  5. Rules for Addition of Radicals Simplify each to a Common Radicand Add the coefficients and place the sum in front of the Common Radical Note: Not all radicals can be simplified to like radicals This expression cannot be simplified or combined any further

  6. Coefficient Common Radical Rules in General for Adding & Subtracting • Must have same radicand • Must have the same index • Add or subtract coefficients and combine result with the common radical Combined Result • Unlike radicals must first be simplified to obtain like radicals, if possible.

  7. Model Problems Subtract: Simplify (find a perfect square factor) Simplify:

  8. Model Problems Simplify:

  9. Model Problem Find the perimeter of the figure below: 0,4 square Shape: ? 4,0 -4,0 0,-4 Perimeter = 4 x length of 1 side

  10. Model Problem The ratio of the length to width of this painting is approximately equal to the golden ratio The width of the painting is 50 inches. Find its length.  81 in.

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