Prove √3 is irrational
Answers!
Let ✓3 be rational
✓3 = p/q
✓3q=p
Squaring on both sides
(✓3q)² = p² --- (1)
p is the factor of 3
3 = p/r
3r = p
Squaring on both sides
3r² = p²
9r² = p² --- (2)
p is the factor of 9
From Equation (1) and (2)
3q² = 9r²
q² = 3r²
This is arrisen that ✓3 is rational according to our contradiction to our assumption that ✓3 is rational
✓3 is irrational
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Answer the question...
Let ✓3 be rational
✓3 = p/q
✓3q=p
Squaring on both sides
(✓3q)² = p² --- (1)
p is the factor of 3
3 = p/r
3r = p
Squaring on both sides
3r² = p²
9r² = p² --- (2)
p is the factor of 9
From Equation (1) and (2)
3q² = 9r²
q² = 3r²
This is arrisen that ✓3 is rational according to our contradiction to our assumption that ✓3 is rational
✓3 is irrational
Mark me as a brainist
✓3 = p/q
✓3q=p
Squaring on both sides
(✓3q)² = p² --- (1)
p is the factor of 3
3 = p/r
3r = p
Squaring on both sides
3r² = p²
9r² = p² --- (2)
p is the factor of 9
From Equation (1) and (2)
3q² = 9r²
q² = 3r²
This is arrisen that ✓3 is rational according to our contradiction to our assumption that ✓3 is rational
✓3 is irrational
Mark me as a brainist
Comment