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Q.

Evaluate the value of the cube root of 343.

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a

5

b

6

c

7

d

8

answer is C.

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Detailed Solution

Concept: To find the cube root of a number, first solve it by prime factorisation method and then make a pair of 3 similar numbers and multiply one number of each pair to get the answer.
The prime factors of 343
343=7

\times

7

\times

7
To write in form of cube, we will group the factors in pairs of 3
343=

7^{3}

To find the cube root we will first find the multiple of 343 and note it done.

\sqrt[3]{343}

= 7×7×7
Now to get the cube root we will make a pair of 3 similar numbers and consider them as a single unit and then if there are more than 1 number then we will multiply them to get the final answer.

\sqrt[3]{343}

= 7
Hence, the correct option is 3.

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