How can 10sqrt48 be simplified?

Question

10sqrt48 = 40sqrt3
how is this calculated?

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Answer 1 · 2018-03-20T06:49:06

#color(brown)( 40sqrt3#

#10 sqrt48 = 10 sqrt(2 * 2 * 2 * 2 * 3), " factorising 48"#

#=> 10 sqrt(2^4 * 3) = 10 * 2^2 sqrt3#

# => 10 * 4 sqrt3 = 40sqrt3#