How do you simplify $[4sqrt500+1/2sqrt20]/(4sqrt20)$ ?

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Answer 1 · 2017-01-18T21:18:46

This simplifies to $41/8$ .

Simplify the radicals.

$=(4sqrt(100 * 5) + 1/2sqrt(5 * 4))/(4sqrt(5 * 4))$

$=(4(10)sqrt(5) + 1/2(2)sqrt(5))/(4(2)sqrt(5))$

$=(40sqrt(5) + sqrt(5))/(8sqrt(5)$

Combine like terms:

$= (41sqrt(5))/(8sqrt(5)$

$=41/8$

Hopefully this helps!

How do you simplify [4sqrt500+1/2sqrt20]/(4sqrt20)[4sqrt500+1/2sqrt20]/(4sqrt20)?