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| 1. |
Prove that root5irrational |
| Answer» Let us assume that √5 be rational √5= p/q. ( where p and q are integers ,q is not equal to 0, p,q donot have common factor). 1.. √5square= p/q square . 5=p square/q square . 5 is a factor of p square 5 is a factor of p P is multiple of 5 Let p be 5K 5q square=5K whole square . 5q square =25K square. q square=5 k square. 5 is a factor of q square. 5 s factor of q...........3. From 2....3...... p and q have a common factor......4. | |