Find the value of ^@\sqrt[3]{ -1728}^@ .


  1. Home
  2. Math
  3. All Questions
Answer:

^@-12^@

Step by Step Explanation:
  1. Let's first find all prime factors of ^@1728^@.
    ^@1728 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3^@
  2. Now, ^@\sqrt[3]{ -1728}^@
    ^@ = -1 × \sqrt[3]{ 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 } \\ = -1 × \sqrt[3]{ 2^3 \times 2^3 \times 3^3 } \\ = -1 × 2 × 2 × 3 \\ = -12^@

You can reuse this answer
Creative Commons License