Find the difference sqrt 20 - sqrt 80

Question

Mathematics

Jake Miller

21 May, 13:54

Find the difference sqrt 20 - sqrt 80

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Answers (1)

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Annika · Answer 1

First you need to reduce each square root. In each case, find the largest perfect square factor under the radical.

in the case of sqrt (20), that boils down to 4*5, so sqrt (20) = sqrt (4) * sqrt (5), or 2sqrt (5).

sqrt (80) = sqrt (16) * sqrt (5) = 4sqrt (5).

Final answer: subtract 4 sqrt (5) from 2 sqrt (5). Can you do this?