please can you explain how do we
get 12√2 from √288 with details btw it is a Coordinate geometry
Answers
Actually, it is not as hard as you think.
The first step is to split 288 into prime factors
2 × 2 × 2 × 2 × 2 × 3 × 3
No the numbers which have doubles, i.e, for example, the number of 2's here are 5 and the number of 3's are 2. So above each pair of the same number add a line that covers both the numbers. And if we do that we can see that 2 pairs of 2's are covered by the line and one 2 is left out. Moving on to 3. It is perfectly two so none is left out. Now a pair of the same numbers represent only one of the numbers. For example, we get two ONLY. If we do the same way for the other numbers, we get 2 x 2 x 3. Now keep the left out ones under the root symbol and the others on the left side of the root symbol:
2 x 2 x 3
multiplying the numbers outside the root:
12
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