How do you simplify (2 sqrt(3)+3 sqrt(2)) - (4 sqrt(2)-3 sqrt(5)-2 sqrt(6))(2√3+3√2)−(4√2−3√5−2√6)?

1 Answer
sankarankalyanam
Aug 4, 2018

color(brown)(=> 2 sqrt3 (1 + sqrt2) - sqrt2 + 3 sqrt5)⇒2√3(1+√2)−√2+3√5

Explanation:

(2 sqrt3 + 3 sqrt20 - (4 sqrt2 - 3 sqrt5 - 2 sqrt6)(2√3+3√20−(4√2−3√5−2√6)

=> 2 sqrt3 + 3 sqrt2 - 4 sqrt2 + 3 sqrt5 + 2 sqrt6, " Removing bracess"⇒2√3+3√2−4√2+3√5+2√6, Removing bracess

=> 2 sqrt3 - sqrt2 + 3 sqrt 5 + 2 sqrt2 * sqrt3⇒2√3−√2+3√5+2√2⋅√3

=> (2 sqrt3 + sqrt2 * 2 sqrt3) - sqrt2 + 3 sqrt5⇒(2√3+√2⋅2√3)−√2+3√5

color(brown)(=> 2 sqrt3 (1 + sqrt2) - sqrt2 + 3 sqrt5)⇒2√3(1+√2)−√2+3√5

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