The value of [3]{-91125}-[3]{512} is

Correct Answer is : −53-53−53

Correct Answer is : −53-53−53

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CTET Paper II (Mathematics and Science) Sep 2015 Solved Paper

Question : 55 of 150

Marks: +1, -0

The value of

\sqrt[3]{-91125}-\sqrt[3]{512}

Solution:

Concept:

The cube root of a negative number is negative. The cube root of a positive number is positive.

Explanation:

First, evaluate

\sqrt[3]{-91125}

. Since

45^3 = 91125

, we get

\sqrt[3]{-91125} = -45

Next, evaluate

\sqrt[3]{512}

. Since

8^3 = 512

, we get

\sqrt[3]{512} = 8

Subtract:

-45 - 8 = -53

Answer:

-53

(Option A)

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