Question

1]Efetue

A] 3√5 + √5 - √5 B] 4√63 - √7

C]√12 + √75 - 3√108 D]√25 + ∛27 + √81 E EXPOENTE 4

2] Efetue as divisoes,dando o resultado na forma mais simplificada possivel

A] √28 ÷ √7= B] 30√15 ÷ 5√3


C] ∛400 ÷ ∛50 D]∛1 ÷√1


3] Efetue as multiplicaçoes,dando o resultado na forma mais simplificada possivel

A] √28 ÷ √7 B] 30√15 ÷ 5√3 C]∛400 ÷ ∛50


D] ∛1 ÷ √1 E] ∛√3 x elevado a 6√64

Answer 1

1)

$a) \ 3 \sqrt{5}+ \sqrt{5}- \sqrt{5}=3 \sqrt{5}$
$b) \ 4 \sqrt{63}- \sqrt{7}= 4 \sqrt{9.7}- \sqrt{7}=4 \sqrt{9} \sqrt{7}- \sqrt{7}=4.3 \sqrt{7}- \sqrt{7}=\\ 12 \sqrt{7}- \sqrt{7}=11 \sqrt{7}$
$c) \ \sqrt{12}+ \sqrt{75}-3 \sqrt{108}=2 \sqrt{3}+5 \sqrt{3}-18 \sqrt{3}=-11 \sqrt{3}$

2)

$a) \ \sqrt{28} \div \sqrt{7}=2 \sqrt{7} \div \sqrt{7}=2$
$b) \ 30 \sqrt{15} \div 5 \sqrt{3}= 6 \sqrt{\frac{15}{3}}=6 \sqrt{5} }$
$c) \ \sqrt[3]{400} \div \sqrt[3]{50}= \sqrt[3]{8}=2$
$d) \ \sqrt[3]{1}\div \sqrt{1}=1 \div 1 = 1$

3)

$a) \sqrt{28} \div \sqrt{7}=2 \sqrt{7} \div \sqrt{7}=2$
$b) \ 30 \sqrt{15} \div 5 \sqrt{3}=6 \sqrt{3}$
$c) \ \sqrt[3]{400} \div \sqrt[3]{50}= \sqrt[3]{8}=2$
$d) \ \sqrt[3]{1}\div \sqrt{1}=1 \div 1 = 1$
$e) \ (\sqrt[3]{ \sqrt{3} } )^{6 \sqrt{64} }= (\sqrt[6]{3} )^{48}=3^8$