Question

Simplifique:
a) 4√5 + 3√5 - 20√5

b) √50 + √250 + 5√2 - 3√10

Answer 1

Explicação passo-a-passo:

A)

$4 \sqrt{5} + 3 \sqrt{5} - 20 \sqrt{5}$

$(4 + 3 - 20) \sqrt{5}$

$(7 - 20) \sqrt{5}$

=>-13√5

B)

$\sqrt{50} + \sqrt{250} + 5 \sqrt{2} - 3 \sqrt{10}$

$\sqrt{5 {}^{2} \times 2} + \sqrt{5 {}^{2} \times 10} + 5 \sqrt{2} - 3 \sqrt{10}$

$\sqrt{5 {}^{2} } \sqrt{2} + \sqrt{5 {}^{2} } \sqrt{10} + 5 \sqrt{2} - 3 \sqrt{10}$

$5 \sqrt{2} + 5 \sqrt{10} + 5 \sqrt{2} - 3 \sqrt{10}$

$( 5 + 5) \sqrt{2} + (5 - 3) \sqrt{10}$

=>10√2+2√10