Question

if x=√7+√5, y=√7-√5 find xy and x+y​

Answer 1

Answer:

$x = \sqrt{7} + \sqrt{5}$

$y = \sqrt{7} - \sqrt{5}$

$xy = ( \sqrt{7} + \sqrt{5} )( \sqrt{7} - \sqrt{5} ) = { \sqrt{7} }^{2} - { \sqrt{5} }^{2} = 7 - 5 = 2$

$x + y = \sqrt{7} + \sqrt{5} + \sqrt{7} - \sqrt{5} = 2 \sqrt{7}$

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Answer 2

Answer:

x=root7+root5

y=root7-root5

xy=(root7+root5)(root7-root5)

=(root7)²-(root5)²=7-5=2

x+y=root7+root5+root7-root5

=2root7