Question

show that 7-root 5 is irrational number​

Answer 1

Hey mate:-

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Given : 7 − √5

LET US ASSUME THAT 7 − √5 IS RATIONAL NUMBER

∴ 7 − √5 = a/b (a,b ∈ z , where b ≠ 0) −√5 = a/b − 7 √5 = 7 − a/b

IF a,b ARE INTEGERS THEN 7 − a/b IS RATIONAL NUMBER.

SO √5 IS ALSO A RATIONAL NUMBER.

BUT THIS CONTRADICTS THE FACT THAT √2 IS IRRATIONAL. ∴ WE CONCLUDE THAT 7 − √5 IS Irrational

Hope it's help uh

Answer 2

Answer:

Step-by-step explanation:

7 - under root 5  is irrational coz it cannot be represented in the form of p/q