Question

show that 5+2√3 is an irrational number ​

Answer 1

Step-by-step explanation:

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Answer 2

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3+ 5√2 = p/q , where p ,q belongs to integers and q is not equal to zero.

5√2 = p/q - 3

5√2 = p - 3q/q

√2 = p - 3q /q /5

√2 = p - 3q /q (1/5)

√2 = p - 3q /5q

p - 3q /5q is rational number.

√2 rational number

Our assumption√2 is rational number is wrong.

Therefore 3+5√2 is an irrational number.