prove that √7+√8 is irrational
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√7-8 is an irrational.
Explanation:
Let consider,√7-8 is rational number
√7-8=a÷b.
√7=a÷b+8
then take lcm b
then the equation is a+8b up on b
a+8b up on b is rational the √7 is also rational.
But √7 is irrational.
So, our supposition or assumption is wrong.
√7-8 is an irrational number.
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