Question

Show that the number 7-2√ 3 is an irrational number

Answer 1

Step-by-step explanation:

Let us assume 7-2√3 be an rational number which is in the form of p/q (where p and q are co prime and q not equal to zero)

=7-2√3=p/q

-2√3=p/q-7

√3=p-5q/-2q

since a and b are integers so p-7q/-2q is rational.

Thus √3 is also rational.

but this contradicts fact that √3 is irrational. so our assumption is incorrect.

hence( 7-2√3) is irrational

/ ye symbol divide Ka hai okk

Answer 2

Answer:

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