Multiply: ` sqrt 5(sqrt2+sqrt3)`

Find (sqrt 3 - sqrt 5)(sqrt 5+ sqrt3)

Simplify: (sqrt 3 - sqrt 5)(sqrt 5+ sqrt 3)

Multiply 6sqrt(5) by 2sqrt(5) .

2sqrt5 - sqrt5 = sqrt5

Simplify: 1/(sqrt5 + sqrt4) + 1/(sqrt4 + sqrt3) + 1/(sqrt3 + sqrt2) + 1/(sqrt2 + sqrt1)

Simplify {(\sqrt 5+\sqrt 3)\times (\sqrt 5 - \sqrt 3)}/(\sqrt 7- \sqrt 3)\times (\sqrt 7+ \sqrt 3)/(\sqrt 7+\sqrt 3)

Rationlise the denominator and simplify: (sqrt5+sqrt3)/(sqrt5-sqrt3)

Examine whether the following numbers are rational or irrational : (2 sqrt3 - 3 sqrt2) (2sqrt3 + 3 sqrt2)

Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

Solve: (sqrt 3+ sqrt2)(sqrt2-sqrt3)