1.
a)
[tex] \sqrt{8} = \sqrt{4\times2 } = \sqrt{4} \times \sqrt{2} = 2 \sqrt{2} [/tex]
b)
[tex] \sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3 \sqrt{3} [/tex]
c)
[tex] \sqrt[3]{81} = \sqrt[3]{27 \times 3} = \sqrt[3]{27} \times \sqrt[3]{3} = 3 \sqrt[3]{3} [/tex]
d)
[tex] \sqrt[4]{32} = \sqrt[4]{16 \times 2} = \sqrt[4]{16} \times \sqrt[4]{2} = 2 \sqrt[4]{2} [/tex]
e)
[tex] \sqrt[3]{256} = \sqrt[3]{64 \times 4} = \sqrt[3]{64} \times \sqrt[3]{4} = 4 \sqrt[3]{4} [/tex]
f)
[tex] \sqrt[3]{972} = \sqrt[3]{27 \times 36} = \sqrt[3]{27} \times \sqrt[3]{36} = 3 \sqrt[3]{36} [/tex]
2.
a)
[tex] \sqrt{144} = 12[/tex]
b)
[tex] \sqrt{49} = 7[/tex]
c)
[tex] \sqrt[3]{1000} = 10[/tex]
d)
[tex] \sqrt[3]{64} = 4[/tex]
