Question

Q) Rationalise the denominator: -2/√
3+1
Rl​

Answer 1

Answer:

i hope the answer is

$\sqrt{3} - 1$

Answer 2

$\huge\underline\mathcal{\red{Answer:-}}$

$\longrightarrow$ $( - \sqrt{3} + 1)$

Step-by-step explanation:

$\huge\underline\mathtt{\red{Question:-}}$

$\implies$ Rationalise the denominator:

$\Large \frac{ - 2}{ \sqrt{3} + 1 }$

$\huge\underline\mathtt{\blue{Hint:-}}$

• We will use the method of rationalising denominator method.
• To rationalize the denominator, you must multiply both the numerator and the denominator by the conjugate of the denominator.

$\huge\underline\mathtt{\purple{Solution:-}}$

$\implies$$\large \frac{ - 2}{ \sqrt{3} + 1 } \times \frac{ \sqrt{3} - 1 }{ \sqrt{3} - 1}$

$\implies$$\large \frac{ - 2( \sqrt{3} - 1)}{ ({ \sqrt{3}) }^{2} - {1}^{2} }$

$\implies$$\large \frac{ - 2( \sqrt{3} - 1) }{3 - 1}$

$\implies$$\large \frac{ - 2( \sqrt{3} - 1)}{2}$

$\implies$$\large -1 ( \sqrt{3} - 1)$

$\implies$$\large - \sqrt{3} + 1$

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$\tiny\mathfrak{\red{@MissTranquil}}$