Question

Determine the cube root of following.
(i) 125
(ii) 343​

Answer 1

Answer:

Cube root of 125 is 5 and cube root of 343 is 7

Answer 2

(i)

$\longrightarrow{\green{}}$ $\sqrt[3]{125}$

$\longrightarrow{\green{}}$ $\sqrt[3]{5 \times 5 \times 5}$

$\longrightarrow{\green{}}$ $\sqrt[3]{ ({5})^{3} }$

$\longrightarrow{\green{}}$ $5$

Therefore, the cube root of 125 is 5.

(ii)

$\longrightarrow{\green{}}$ $\sqrt[3]{343}$

$\longrightarrow{\green{}}$ $\sqrt[3]{7 \times 7 \times 7}$

$\longrightarrow{\green{}}$ $\sqrt[3]{ ({7})^{3} }$

$\longrightarrow{\green{}}$ $7$

Therefore, the cube root of 343 is 7.