Multiple choice

One root of a quadratic equation is the square of the other. If the product of the roots is 64, then what will be the sum of the square roots of the roots?

  1. 4

  2. 5

  3. 6

  4. 8

  5. 10
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the roots be r and r^2. Their product is r^3 = 64, so r = 4. The roots are 4 and 16. The square roots of the roots are 2 and 4, and their sum is 6.

AI explanation

Let the roots of the quadratic equation be r and r^2. Since their product is 64, we write r * r^2 = r^3 = 64, which gives r = 4. The roots are therefore 4 and 16, and the sum of their square roots is sqrt(4) + sqrt(16) = 2 + 4 = 6.

Keep practicing — related questions