Question

4√3+5√2/√48+√18 rationalize​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$\frac{4 \sqrt{3 } + 5 \sqrt{2} }{ \sqrt{48} + \sqrt{18} }$

$\frac{(4 \sqrt{3} + 5 \sqrt{2} ) (\sqrt{48} - \sqrt{18}) }{ \sqrt{ {48}^{2} } - \sqrt{18 ^{2} } }$

$\frac{4 \sqrt{3}( \sqrt{48} - \sqrt{18)} + 5 \sqrt{2} ( \sqrt{48} - \sqrt{18} )}{48 - 18}$

$\frac{(4 \sqrt{3}(4 \sqrt{3} - 3 \sqrt{2}) + 5 \sqrt{2} (4 \sqrt{3} - 3 \sqrt{2} )}{30}$

$\frac{48 - 12 \sqrt{6} + 20 \sqrt{6 } - 30}{30}$

$= \frac{18 + 8 \sqrt{6} }{30}$

$= \frac{2(9 + 4 \sqrt{6} )}{30}$

$= \frac{9 + 4 \sqrt{6} }{15}$

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