Question

(2+√3)(2-√3)(5+√2)(5-√2) is rational or irrational​

Answer 1

Answer:

(2+√3)(2-√3)(5+√2)(5-√2) its irrational

Answer 2

Answer:

it is rarional

Step-by-step explanation:

us assume that 23+5 is irrational number.

Let P=23+5 is rational

on squaring both sides we get

P2=(23+5)2=(23)2+(5)2+2×23×5

P2=12+5+415

P2=17+415

4P2−17=15   ………..(1)

Since P is rational no. therefore P2 is also rational & 4P2−17 is also rational.

But 15 is irrational

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