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Decimal versions of radicals Just use calculator. Use MATH 5 for non-square roots

Decimal versions of radicals Just use calculator. Use MATH 5 for non-square roots. MATH 5 56 ENTER 2.73. =1.97. Simplify Radicals Keep non-grouped #’s inside Bring out 1 representative per group. Ignore other representatives Multiply outside number by the representative

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Decimal versions of radicals Just use calculator. Use MATH 5 for non-square roots

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  1. Decimal versions of radicals Just use calculator. Use MATH 5 for non-square roots • MATH 5 56 ENTER • 2.73 =1.97

  2. Simplify Radicals • Keep non-grouped #’s inside • Bring out 1 representative per group. Ignore other representatives • Multiply outside number by the representative • 2) Divide exponent by root. • Variable Answer: Outside Variable Remainder: Inside Ex 3: Ex 4: Ex 5: 2*14 125*2 27*10 2*7 Root is 2 7/3 = 2 R 1 9*3 5*2 5*25 x2 out x1 in 2 out, 7 inside 5*5 3*3 12/3 = 4R0 5 out; 2 inside. 3 out; 5*2 inside x4 out

  3. 108= 2*2*3*3*3 so 3 out; 2*2 in 14/3 = 4R2 so x4 out, x2 in 6/3 = 2R0 so y2 out, 2/3 = 0R2 so z2 in 48= 3* 2*2 *2*2 so 2 and 2 out; 3 in 4/2 = 2 R 0 so x2 out; 7/2 = 3 R 1 so y2 out, y1 in

  4. Add • Simplify • Add outside #only • if root and inside are same Ex: Example 7 Example 8

  5. Multiply • (if roots same) • Mult. Outside • Mult. Inside • Simplify

  6. Foil Follow rules of add & mult.

  7. Divide by square root monomial • Reduce outside and insides • Mult.top & bottom by bot. radical • Simplify

  8. Simplify • Bring out one representative per group • Divide exponent by root. • Answer: Outside Remainder: Inside • Ex: • Add • Simplify • Add outside #only • if root and inside are same • Multiply • (if roots same) • Mult. Outside • Mult. Inside • Simplify Foil Follow rules of add & mult. Square Roots Square Roots • Divide by BINOMIAL • Mult. top and bottom by conjugate • Simplify. (Bottom is diff. of squares) • Divide by square root monomial • Reduce outside and insides • Mult.top & bottom by bot. radical • Simplify

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