Question

a=root3+root2/root3-root2 and b=root3-root2/root3/root2 , then find a^3+b^3​

Answer 1

Answer:

990

Step-by-step explanation:

a=√3+√2/√3-√2

By rationalising we get

a=(√3+√2) square

a=(3+2+2√6)

b=√3-√2/√3+2

By rationalising we get

b=(√3-√2)^2

b=(3+2-2√6)

a^3+b^3=(a+b)(a^2-ab+b^2)

a^3+b^3=(5+2√6+5-2√6)(25+24+10√6+25+24-10√6+1)

a^3+b^3=10*99

a^3+b^3=990