Rationalise the denomitor (2sqrt6-sqrt5)/(3sqrt5-2sqrt5)

Simplify Denominator: Simplify the denominator: 3sqrt5 - 2sqrt5 simplifies to sqrt5 (since 3 - 2 = 1).Substitute Denominator: Substitute the simplified denominator back into the expression: (2sqrt6 - sqrt5) / sqrt5Rationalize Denominator: Rationalize the denominator by multiplying numerator and denominator by sqrt5: ((2sqrt6 - sqrt5) * sqrt5) / (sqrt5 * sqrt5) = (2sqrt6*sqrt5 - 5) / 5Simplify Expression: Simplify the expression: 2sqrt30/5 - 5/5 = (2/5)sqrt30 - 1

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Rationalise the denomitor

(2sqrt6-sqrt5)/(3sqrt5-2sqrt5)

Rationalise the denomitor $\newline$ $\frac{2 \sqrt{6}-\sqrt{5}}{3 \sqrt{5}-2 \sqrt{5}}$

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Algebra 2

Simplify rational expressions

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Q. Rationalise the denomitor

\newline

\frac{2 \sqrt{6}-\sqrt{5}}{3 \sqrt{5}-2 \sqrt{5}}

Simplify Denominator: Simplify the denominator: $3\sqrt{5} - 2\sqrt{5}$ simplifies to $\sqrt{5}$ (since $3 - 2 = 1$ ).
Substitute Denominator: Substitute the simplified denominator back into the expression: $(2\sqrt{6} - \sqrt{5}) / \sqrt{5}$
Rationalize Denominator: Rationalize the denominator by multiplying numerator and denominator by $\sqrt{5}$ : $\frac{(2\sqrt{6} - \sqrt{5}) \cdot \sqrt{5}}{\sqrt{5} \cdot \sqrt{5}}$ = $\frac{2\sqrt{6}\cdot\sqrt{5} - 5}{5}$
Simplify Expression: Simplify the expression: $\newline$ $\frac{2\sqrt{30}}{5} - \frac{5}{5}$ $\newline$ = $\frac{2}{5}\sqrt{30} - 1$