Simplify √5+1√5−1.
Answer:
3+√52
- Let us multiply the numerator and the denominator by (√5+1). =√5+1√5−1×√5+1√5+1=(√5+1)(√5+1)(√5)2−(1)2[a2−b2=(a+b)(a−b)]=(√5+1)25−1=(√5)2+(1)2+2×√5×14[(a+b)2=a2+b2+2ab]=6+2√54=3+√52