Simplify: 3 root45 - root 125 + root 200- root 15
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(3√45-√125+√200-√50)×(2√10+√20+√40-2√5)
=(3√9×5-√5×25+√2×100-√25×√2 ) (2√10+√4×5+√4×10-2√5)
=(3×3√5-5√5+10√2-5√2) (2√10+2√5+2√10-2√5)
=(9√5-5√5+10√2-5√2) (2√10+2√10+2√5-2√5)
=(4√5+5√2)(4√10)
=16√50+20√20
=16√25×2 + 20√5×4
=16×5√2 + 20×2√5
= 80√2 + 40√5
=(3√9×5-√5×25+√2×100-√25×√2 ) (2√10+√4×5+√4×10-2√5)
=(3×3√5-5√5+10√2-5√2) (2√10+2√5+2√10-2√5)
=(9√5-5√5+10√2-5√2) (2√10+2√10+2√5-2√5)
=(4√5+5√2)(4√10)
=16√50+20√20
=16√25×2 + 20√5×4
=16×5√2 + 20×2√5
= 80√2 + 40√5
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