Question

If x is equal to 2 + root 5 and y is equal to root 3 -2 the find x+y ,x-y,xy

Answer 1

Step-by-step explanation:

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Answer 2

$\star$ Question :

If x is equal to 2 + root 5 and y is equal to root 3 -2 the find x+y ,x-y,xy ?

$\star$ Given : $x=2+\sqrt{5} ,y=\sqrt{3} -2$

$\star$ To find : $x+y,x-y,xy$

$\star$ Solution :

$x+y=2+\sqrt{5} +\sqrt{3} -2\\\\=>x+y=\sqrt{5} +\sqrt{3} \\\\x-y=2+\sqrt{5} -(\sqrt{3} -2)\\\\=>x-y=4+\sqrt{5} -\sqrt{3} \\\\xy=(2+\sqrt{5}) *(\sqrt{3} -2)\\\\=>xy=2\sqrt{3}-4+\sqrt{15}-2\sqrt{5}$

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