Simplify √3+√2√3−√2.
Answer:
5+2√6
- Let us multiply both the numerator and the denominator of the fraction by (√3+√2).
=√3+√2√3−√2×√3+√2√3+√2=(√3+√2)(√3+√2)(√3)2−(√2)2[a2−b2=(a+b)(a−b)]=(√3+√2)23−2=(√3)2+(√2)2+2×√3×√2[(a+b)2=a2+b2+2ab]=3+2+2√6=5+2√6