Question

simplify 3√2x-5√8x+√72x​

Answer 1

$:⟼$ $3 \sqrt{2x} - 5 \sqrt{8x} + \sqrt{72x}$

$:⟼$ $3 \sqrt{2x} - 5 \sqrt{2 \times 2 \times 2x} + \sqrt{2 \times 2 \times 2 \times 3 \times 3x}$

$:⟼$ $3 \sqrt{2x} - 5 \sqrt{( {2})^{2} \times 2x} + \sqrt{ ({2})^{2} \times ({3})^{2} \times 2x }$

$:⟼$ $3 \sqrt{2x} - 5 \times 2 \sqrt{2x} + 2 \times 3 \sqrt{2x}$

$:⟼$ $3 \sqrt{2x} - 10 \sqrt{2x} + 6 \sqrt{2x}$

$:⟼$ $\sqrt{2x} (3 - 10 + 6)$

$:⟼$ $\sqrt{2x} (9 - 10)$

$:⟼$ $\sqrt{2x} ( - 1)$

$:⟼$ $\bigstar \: \boxed{\sf{\color{red}{ - \sqrt{2x} }}}$