Question

Divide √9x2 by √18y2

Answer 1

`√(9x^2)=3|x|\\\\√(18y^2)=√(9\cdot2)|y|=3|y|\sqrt2\\\\therefore:\\\\√(9x^2):√(18y^2)=(3|x|)/(3|y|\sqrt2)=(|x|)/(|y|\sqrt2)\cdot(\sqrt2)/(\sqrt2)=(|x|\sqrt2)/(2|y|)`

Answer 2

Answer:√2x/2y

Explanation:

By indices,

√9x²/√18y²

= (√9 × √x²)/ (√18 × √y²)

= (3 × x)/{(√2×9) × y}

= 3x/3√2y

= x/√2y

Rationalizing this,

x/√2y × √2/√2

= √2x/2y.