How do you simplify $(3sqrt5 + 2sqrt10) (4sqrt5 - 6sqrt10)$ ?

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Answer 1 · 2016-06-15T12:40:38

$(3sqrt5+2sqrt10)(4sqrt5-6sqrt10)=130sqrt2-60$

$(3sqrt5+2sqrt10)(4sqrt5-6sqrt10)$

= $3sqrt5(4sqrt5+6sqrt10)+2sqrt10(4sqrt5-6sqrt10)$

= $12sqrt25+18sqrt50+8sqrt50-12sqrt100$

= $12sqrt(5xx5)+18sqrt(2xx5xx5)+8sqrt(2xx5xx5)-12sqrt(10xx10)$

= $12xx5+18xx5xxsqrt2+8xx5xxsqrt2-12xx10$

= $60+90xxsqrt2+40sqrt2-120$

= $130sqrt2-60$

How do you simplify (3sqrt5 + 2sqrt10) (4sqrt5 - 6sqrt10)(3sqrt5 + 2sqrt10) (4sqrt5 - 6sqrt10)?