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Rationalisation of Denominator

Prove that ro...

Question

Prove that root 9 is rational.

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Solution

Dear Student,

Root of 9 is 3. 3 is a rational number as they can be written in the form p/q where q not equal to 0.

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Similar questions

If root6 is irrational then prove 5root6 is rational

a + b + c = 0

, prove that the roots of

a x^{2} + b x + c = 0

are rational. Hence, show that the roots of

(p + q) x^{2} - 2 p x + (p - q) = 0

Q. Prove that the roots of the following equation are rational

(a + c - b) x^{2} + 2 c x + (b + c - a = 0)

\sqrt{5}

is not a rational number. Hence, prove that 2 -

\sqrt{5}

is also irrational.

Q. Prove that the roots of the equation

(a - b + c) x^{2} + 2 (a - b) x + (a - b - c) = 0

are rational numbers for all real numbers a and b and for all rational c.

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