Question

1) Simplifique os radicais e efetue as operações:
a) √75 – 2.√12 + √27 = c) √12 - 9√3 +√75 =

b) √98 - √18 – 5 √32 = d) 2 √32 - 5√18 =

2) Efetue as multiplicações e divisões:
a) √2 . √7 = c) √15 : √3 =

b) 4 √ 6 . 4 √ 2 = d) 3 √ 30 : 3 √ 10 =

Answer 1

Oie, Td Bom?!

1.

a)

$\sqrt{75} - 2 \sqrt{12} + \sqrt{27}$

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

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

$4 \sqrt{3}$

b)

$\sqrt{98} - \sqrt{18} - 5 \sqrt{32}$

$7 \sqrt{2} - 3 \sqrt{2} - 20 \sqrt{2}$

$(7 - 3 - 20) \sqrt{2}$

$- 16 \sqrt{2}$

c)

$\sqrt{12} - 9 \sqrt{3} + \sqrt{75}$

$2 \sqrt{3} - 9 \sqrt{3} + 5 \sqrt{3}$

$(2 - 9 + 5) \sqrt{3}$

$- 2 \sqrt{3}$

d)

$2 \sqrt{32} - 5 \sqrt{18}$

$8 \sqrt{2} - 15 \sqrt{2}$

$(8 - 15) \sqrt{2}$

$- 7 \sqrt{2}$

2.

a)

$\sqrt{2} \times \sqrt{7}$

$\sqrt{2 \times 7}$

$\sqrt{14}$

b)

$4 \sqrt{6} \times 4 \sqrt{2}$

$16 \sqrt{6} \sqrt{2}$

$16 \sqrt{6 \times 2}$

$16 \sqrt{12}$

$16 \sqrt{2 {}^{2} \times 3}$

$16 \sqrt{2 {}^{2} } \sqrt{3}$

$16 \times 2 \sqrt{3}$

$32 \sqrt{3}$

c)

$\sqrt{15} \div \sqrt{3}$

$\sqrt{15 \div 3}$

$\sqrt{5}$

d)

$3 \sqrt{30} \div 3 \times \sqrt{10}$

$1 \sqrt{30} \sqrt{10}$

$\sqrt{30} \sqrt{10}$

$\sqrt{30 \times 10}$

$\sqrt{300}$

$\sqrt{10 {}^{2} \times 3 }$

$\sqrt{10 {}^{2} } \sqrt{3}$

$10 \sqrt{3}$

Att. Makaveli1996