Question

if 'a' and 'b' are rational numbers, then 'a' and 'b' from 3-root 5/3 + 2 root 5 = a root 5 - b​

Answer 1

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Hello Mate!

On Rationalizing we get,

$3−53+5×3+53+5$

$=9−5(3+5)$

$=9+5+6 √5$

$27+35=a+b5$

On comparing both sides we get,

a = 7/2 and b = 3/2

Hope it helps :)

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Answer 2

$\huge \fbox \purple{answer}$

Hello Mate!

On Rationalizing we get,

3−53+5×3+53+5

=9−5(3+5)

=9+5+6 √5

27+35=a+b5

On comparing both sides we get,

a = 7/2 and b = 3/2

Hope this helps u thank u