Math, asked by rajsolkar, 6 months ago

prove that 7+2√3 pls pls fast pls fast​

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Answered by Anonymous
0

Answer:

Let assume that 7-2root3 be rational and rational numbers are in the form of p/q form.

7 - 2 =   \sqrt{3} : p | q

7 - p| q  = 2 \sqrt{3}

7q - p | q \:  = 2 \ \sqrt{3}

7q - p | 2q \:  =  \sqrt{3}

We know that root 3 is irrational and not p/q form. It contradicts the statement that it is irrational as it is p/q form.

Subtraction and multiplication of irrational number form irrational number so

7-2root3 is irrational.

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Answered by amritamohanty918
1

Answer:

Hope it helps!

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