Question

Temă
Calculează
a)3radical2*radical7*radical2+4radical7*2radical2-5radical2*radical7
b)radical5*2radical3-6radical15*2+3radical5*radical3*radical15
c)radical45:radical3-4radical30:radical2+radical15*2-7rafical105:radical7.
Ajutor!​

Answer 1

Explicație pas cu pas:

$\mathbf{a)3 \sqrt{2} \times \sqrt{7} \times \sqrt{2} + 4 \sqrt{7} \times 2 \sqrt{2} - 5 \sqrt{2} \times \sqrt{7} }$

$\mathbf{3 \times 2 \sqrt{7} + 8 \sqrt{14} - 5 \sqrt{14} }$

$\mathbf{6 \sqrt{7} + 8 \sqrt{14} - 5 \sqrt{14} }$

$\mathbf{6 \sqrt{7} + 3 \sqrt{14} }$

$\mathbf{b) \sqrt{5} \times 2 \sqrt{3} - 6 \sqrt{15} \times 2 + 3 \sqrt{5} \times \sqrt{3} \times \sqrt{15} }$

$\mathbf{2 \sqrt{15} - 12 \sqrt{15} + 3 \sqrt{225} }$

$\mathbf{ - 10 \sqrt{15} + 3 \times 15}$

$\mathbf{ - 10 \sqrt{15} + 45 }$

$\mathbf{c) \sqrt{45} \div \sqrt{3} - 4 \sqrt{30} \div \sqrt{2} + \sqrt{15} \times 2 - 7 \sqrt{105} \div \sqrt{7} }$

$\mathbf{ \sqrt{15} - 4 \sqrt{15} + 2 \sqrt{15} - 7 \sqrt{15} }$

$\mathbf{(1 - 4 + 2 - 7) \sqrt{15} }$

$\mathbf{ - 8 \sqrt{15} }$

Bafta!