Question 1159259
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a.2√8 − √128 + √48 + √18<br>
Simplify the radicals and combine where possible<br>
{{{2sqrt(8) = 2sqrt(4*2) = 2sqrt(4)*sqrt(2) = 4*sqrt(2)}}}
{{{sqrt(128) = sqrt(64*2) = sqrt(64)*sqrt(2) = 8*sqrt(2)}}}
{{{sqrt(48) = sqrt(16*3) = sqrt(16)*sqrt(3) = 4*sqrt(3)}}}
{{{sqrt(18) = sqrt(9*2) = sqrt(9)*sqrt(2) = 3*sqrt(2)}}}<br>
ANSWER: {{{15*sqrt(2)+4*sqrt(3)}}}<br>
b.(2√11 + 1) (√11 − 6)
Use FOIL  (more generally, multiply each term of each factor by each term of the other) and combine where possible.<br>
{{{(2*sqrt(11))*(sqrt(11)) = 2*11 = 22}}}
{{{(2*sqrt(11))*(-6) = -12*sqrt(11)}}}
{{{1*sqrt(11) = sqrt(11)}}}
{{{1(-6) = -6}}}<br>
ANSWER: {{{22 - 12sqrt(11)+sqrt(11)-6 = 16-11sqrt(11)}}}<br>