Question

The simplest rationalisation factor of root 50 is?

Answer 1

Answer:

ask the question clearly

Answer 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 =