Question

Evaluate:

Answer 1

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 $\sqrt[3]{x \times x \times x} = x$   -----(A)

Also

$\sqrt[3]{x \times x \times x \times y \times y \times y} = x \times y$   ---(B)

Now let us see each part one by one

a) we have

$\sqrt[3]{64} + \sqrt[3]{0.027} + \sqrt[3]{0.008}$

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

$\sqrt[3]{4 \times 4 \times 4} + \sqrt[3]{0.3 \times 0.3 \times 0.3} + \sqrt[3]{0.2 \times 0.2 \times 0.2}$

Applying Rule A in above

$=4+0.3+0.2$

$=4+0.5$

4.5

b) we have $\sqrt[3]{0.3 \times 0.3 \times 0.3 \times 11 \times 11 \times 11}$

Applying the B rule in this

$=0.3 \times 11$

3.3