Explanation

The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

In this case, 4 × 4 × 4 = 64, so 4 is the cube root of 64.

Last verified on 30-04-2026

Explanation

x² + 1 = 0 gives x² = -1.

The square of a real number cannot be negative.

Therefore, the equation has no real roots.

Last verified on 14-11-2026

Explanation

• The trapezoidal rule is a numerical integration technique.
• It estimates the area under a curve using trapezoids.
• It is useful when an exact integral is difficult to calculate.

Last verified on 13-11-2026

Explanation

• Newton-Raphson is an iterative numerical method.
• It uses a function and its derivative to improve an approximation.
• It can provide accurate roots when a suitable initial value is chosen.

Last verified on 13-11-2026

Explanation

• An inner product measures relationships between vectors.
• It can be used to calculate vector lengths.
• It also helps determine angles between vectors.

Last verified on 13-11-2026