Question

5√3-4√2/4√3+3√2 ratinalise the denominator of

Answer 1

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Answer 2

Question:-

Rationalize:-

•$\frac{5 \sqrt{3}-4 \sqrt{2}}{4 \sqrt{3}+3 \sqrt{2}}$

AnsWer:-

→$\frac{5 \sqrt{3}-4 \sqrt{2}}{4 \sqrt{3}+3 \sqrt{2}}$

♦Multiply the Numerator and Denominator by 4√3-3√2

→$\frac{(5 \sqrt{3}-4 \sqrt{2})(4 \sqrt{3}-3 \sqrt{2})}{(4 \sqrt{3}+3 \sqrt{2})(4 \sqrt{3}-3 \sqrt{2})}$

[(a+b)(a-b)=a²-b²]

→$\frac{60-16 \sqrt{6}-15 \sqrt{6}+24}{(4 \sqrt{3})^{2}-(3 \sqrt{2})^{2}}$

→$\frac{31 \sqrt{6}+84}{48-18}$

→$\frac{31 \sqrt{6}+84}{30}$

•°•Rationalized