Question

solve this question

${x}^{2} \times {y}^{2} = 40$
find x and y​

Answer 1

Step-by-step explanation:

x^2+y^2 = 40

=> (xy)^2 = 40

=> xy = √40

=> xy = 2√10

•°• either X = 2 & y = √10 or X = √10 & y = 2

Answer 2

Question ;

Solve this question :

$x^2 \times y^2 = 40$

Solution :

$\implies x^2 \times y^2 = 40 \\ \implies {(xy)}^{2} = 40 \\ \implies xy = \sqrt{40} \\ \implies xy = \sqrt{2 \times 2 \times 2 \times 5 } \\ \implies xy = 2 \sqrt{10}$

$\boxed{\green {\therefore {x=2\: and\: y=\sqrt{10}\:or\:x=\sqrt{10}\:and\:y=2}}}$