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AP TET Paper 1 Model Test 1

Question : 101 of 150

Marks: +1, -0

Find the cube root of 78402752

Solution:

Concept:

Cube root is found by prime factorisation or by checking the unit digit of options.

Explanation:

First, factorise 78402752 into prime factors.

It is

2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 107 \times 107 \times 107

Group the factors into triples:

(2 \times 2 \times 2)

and

(2 \times 2 \times 2)

and

(107 \times 107 \times 107)

Take one factor from each triple:

2 \times 2 \times 107 = 428

Quickly verify using the unit digit method. The cube of 8 ends in 2, so 428 is the correct option.

Answer:

Option C: 428

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