Answer:
a) = 4.5
b) = 3.3
Step-by-step explanation:
Before solving our problems given to us let us under stand the rule of cube roots
It says [tex]\sqrt[3]{x \times x \times x} = x[/tex] -----(A)
Also
[tex]\sqrt[3]{x \times x \times x \times y \times y \times y} = x \times y[/tex] ---(B)
Now let us see each part one by one
a) we have
[tex]\sqrt[3]{64} + \sqrt[3]{0.027} + \sqrt[3]{0.008}[/tex]
Now 64 = 4 x 4 x 4
0.027 = 0.3 x 0.3 x 0.3
0.008 = 0.2 x 0.2 x 0.2
substituting these values
[tex]\sqrt[3]{4 \times 4 \times 4} + \sqrt[3]{0.3 \times 0.3 \times 0.3} + \sqrt[3]{0.2 \times 0.2 \times 0.2}[/tex]
Applying Rule A in above
[tex]=4+0.3+0.2[/tex]
[tex]=4+0.5[/tex]
4.5
b) we have [tex]\sqrt[3]{0.3 \times 0.3 \times 0.3 \times 11 \times 11 \times 11}[/tex]
Applying the B rule in this
[tex]=0.3 \times 11 [/tex]
3.3
