Question

prove that √2+√7 is an irrational number
​

Answer 1

Step-by-step explanation:

ANSWER

Let us assume that

7

2

is rational number.

7

2

×

7

7

=

7

2

7

is rational number .

which is only possible is

7

2

7

is rational and √7 is rational.

But the fact is

7

is an irrational.

which contradicts to our assumption.

$

7

2

is an irrational number. hence proved.

Answer 2

√2=1.41421356

√7=2.64575131

√2+√7=1.41421356+2.64575131

=4.05996487

4.05996487 is an irrational no. so √2+√6 is also an irrational answer

hope it helps

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