Question

please solve this equation step by step...............

$h = (24 \sqrt{3} - 15 ) \div \sqrt{3}$

Answer 1

Given
h = (24√3 -15) ÷ √3
$\frac{24 \sqrt{3 } - 15}{ \sqrt{3} } \\ \\ on \: rationalising \: denominator \\ \\ \frac{(24 \sqrt{3} - 15) \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } \\ \\ = \frac{(24 \times 3 - 15 \sqrt{3}) }{3} \\ \\ = \frac{72 - 15 \sqrt{3} }{3}$
Now
$\frac{(24 \times 3) - (3 \times 5) \sqrt{3} }{3} \\ \\ = 3(24 - 5 \sqrt{3}) \div 3 \\ \\ = 24 - 5 \sqrt{3}$

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