Question

Calcular 4√2-9√18+15√50

Answer 1

Hola!

Respuesta:

$52 \sqrt{2}$

Explicación paso a paso:

$4 \sqrt{2} - 9 \sqrt{18} + 15 \sqrt{50} \\ = 4 \sqrt{2} - 9 \sqrt{9 \times 2} + 15 \sqrt{25 \times 2} \\ = 4 \sqrt{2} - 9 \sqrt{9} \times \sqrt{2} + 15 \sqrt{25} \times \sqrt{2} \\ = 4 \sqrt{2} - 9 \times 3 \times \sqrt{2} + 15 \times 5 \times \sqrt{2} \\ = 4 \sqrt{2} - 27 \sqrt{2} + 75 \sqrt{2} \\ = (4 - 27 + 75) \sqrt{2} \\ = (52) \sqrt{2} \\ = 52 \sqrt{2}$