8/11/2019 Multiplying and Dividing Radicals

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MULTIPLYING AND DIVIDING

RADICALS

Conjugate pairsHERE IS THE RULE for multiplying radicals:

It is the symmetricalversion of the rule for simplifyingradicals. It is valid foraand bgreater than or equal to .!ro"lem #. $ultiply.To see the ans%er& pass your mouse over the colored area.To cover the ans%er again& clic' (Refresh( )(Reload(*.+o the pro"lem yourself ,rst-

a* / "* 0 1 / 2

c* / / 2 d* )0 *0/ 3 4 / 0

e* / The di5erence of t%o squares

!ro"lem 0. $ultiply& then simplify:

E6ample #. $ultiply ) 7 *) 8 *.Solution. The student should recogni9e the formthose factors %ill produce:The di5erence of t%o squares

) 7 *) 8 * / ) *08 ) *0

/ 2 8 0

/ 3.!ro"lem 1. $ultiply.

a* ) 7 *) 8 * / 4 8 1 / 0

"* )0 7 *)0 8 * / 3 1 8 2 / #0 8 2 / 2c* )# 7 *)# 8 * / # 8 )x7 #* / # 8x8 # / 8x

d* ) 7 *) 8 * / a8 b

!ro"lem 3. )x8 # 8 *)x8 # 7 *a* hat form does that produce;

The di5erence of t%o squares. x8 # is (a.( is (b.(