Algebra Calculators

Algebra homework tends to stall in the same places: an equation that will not rearrange, a matrix that will not resolve, or a log expression that looks different from the answer in the back of the book. The tools here work through those steps directly, showing the result for the values entered rather than explaining the topic in the abstract.

Relative error measures a measurement against the truth: how far off you were, scaled by the size of the true value.

Find the binary logarithm of any positive number.

Exponential growth means each period multiplies the last value instead of adding to it, and this calculator works that relationship in any direction.

Type two square roots, with or without coefficients, and this multiplying square roots calculator returns the simplified exact form, the decimal value, and the four factoring steps that get you there.

Most root buttons stop at a rounded decimal, and that is where homework and real problems actually start: is the answer exact, can the radical be simplified, and what happens with a negative number?

Completing the square turns a quadratic like 2x² − 12x + 7 into 2(x − 3)² − 11, and that one rewrite hands you the vertex, the axis of symmetry, and a route to the roots that needs nothing but a square root.

Exponents compress repeated multiplication into a tiny superscript, and this calculator works in all three directions: compute a raised to the n,…

Multiply matching components, add the products, and two vectors collapse into a single number that says how much they point the same way.

Two vectors in 3D space hide a third one: the vector that stands at right angles to both of them.

Adding vectors is not adding plain numbers: a displacement of (3, 4) followed by (1, 2) lands at (4, 6), and the direction of that result matters as much as its size.