The simplest rationalisation factor of root 50 is?
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Answered by
1
Answer:
ask the question clearly
Answered by
2
Answer:
sqrt(2) / 10 is the answer.
Two approaches
Approach #1
Step 1. Simplify the irrational on the bottom
Step 2. Multiple top and bottom by a factor to change the irrational to rational
Step 1: 1/sqrt(50) = 1 / sqrt(25 * 2) = 1/[sqrt(25) * sqrt(2)] = 1/ [ 5 * sqrt(2)]
Step 2: 1/ [ 5 * sqrt(2)] * sqrt(2)/sqrt(2) = sqrt(2) / (5 * 2) = sqrt(2) / 10
Approach #2
Step 1: Multply by value which will change the irrational denominator to a rational one
Step 2: Simplify the fraction
Step 1: 1/sqrt(50) * sqrt(50)/sqrt(50) = sqrt(50)/50
Step 2 sqrt(50) / 50 = 5 * sqrt(2) / 50 =
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