Math, asked by ganeshsonawane9399, 9 months ago

Rationalise
√24/√6-√3​

Answers

Answered by Sumanthreddy651022
0

Answer:

To rationalize the denominator

✖ By root 24

The fraction is

6 root 24 / 72

I. e. Root 24 / 12

Step-by-step explanation:

Answered by Anonymous
60

\green{\bold{\underline{ ☆        UPSC-ASPIRANT ☆} }}

\red{\bold{\underline{\underline{QUESTION:-}}}}

Q:-Rationalise

√24/√6-√3

\huge\tt\underline\blue{ANSWER }

------>>>>Here is your answer<<<<--------

⟹ \sqrt{24}   = 2 \sqrt{6}

⟹ \frac{2 \sqrt{6} }{ \sqrt{6}  -  \sqrt{3} }  \times  \frac{ \sqrt{6}  +  \sqrt{3} }{ \sqrt{6}  +  \sqrt{3} }

⟹ \frac{2 \sqrt{6}( \sqrt{6}   +  \sqrt{3}) }{( { \sqrt{6} )}^{2}  -  { (\sqrt{3} )}^{2} }  =  \frac{12 + 2 \sqrt{6}  \sqrt{3} }{6 - 3}

⟹ \frac{12 + 2 \sqrt{6}  \sqrt{3} }{3} ✓

HOPE IT HELPS YOU..

_____________________

Thankyou:)

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