Question

30 Calcule o valor das expressões.
a) (√18 + √98 + √200) : (2√2 + √8)
b) (√150 - √24): (2√8 -3√2)
c) (10√27 + 10√3): 10√3
d) (20√10 + 10√18) : 2√2​

Answer 1

$a) (\sqrt{18} + \sqrt{98} + \sqrt{200} ) \: \div (2 \sqrt{2} + \sqrt{8} ) \\ (3 \sqrt{2 } + 7 \sqrt{2} + 10 \sqrt{2} ) \div (2 \sqrt{2} + 2 \sqrt{2}) \\ 20 \sqrt{2} \div (4 \sqrt{2} ) \\ 5$

$b)( \sqrt{150} - \sqrt{24} ) \div (2 \sqrt{8} - 3 \sqrt{2} \\ (5 \sqrt{6} - 2 \sqrt{6} ) \div (4 \sqrt{2} - 3 \sqrt{2} ) \\ 3 \sqrt{6} \div \sqrt{2} \\ 3 \sqrt{3}$

$c)(10 \sqrt{27} + 10 \sqrt{3} ) \div 10 \sqrt{3} \\( 30 \sqrt{3} + 10 \sqrt{3} ) \div 10 \times \sqrt{3} \\ 40 \sqrt{3} \div 10 \times \sqrt{3} \\ 40 \times 3 + 10 \\ 12$

$d) (20 \sqrt{10} + 10 \sqrt{18} \div 2 \sqrt{2} \\ (20 \sqrt{10} + 30 \sqrt{2} ) \div 2 \times \sqrt{2} \\ \frac{20 \sqrt{10} + 30 \sqrt{2} }{2} \times \sqrt{2} \\ \frac{2(10 \sqrt{10} + 15 \sqrt{2} }{2} \times \sqrt{2} \\ 10 \sqrt{20} + 30 \\ 20 \sqrt{5} + 30$