What does the Square Root, Powers & Logarithm Calculator do?

Calculate square roots, cube roots, custom powers, and logarithms (log10, ln, log2). All calculations are performed in your browser using official UK rates and thresholds.

How accurate are the results?

This calculator uses standard mathematical algorithms and provides results accurate to the precision shown. For very large numbers or high-precision requirements, results are rounded to a reasonable number of decimal places.

Can I use this for schoolwork?

Yes. This calculator is suitable for GCSE, A-level and university-level mathematics. It follows standard mathematical conventions used in UK education.

Square Root, Powers & Logarithm Calculator

Calculate square roots, cube roots, custom powers, and logarithms (log10, ln, log2).

Last updated: April 2026 · Source: BBC Bitesize — Square and cube roots

Roots & Powers

Number

Custom power (n^x)

Logarithms

Number

Disclaimer

This calculator is provided for informational purposes only and should not be considered as financial or tax advice. All calculations are performed locally in your browser — no personal data is collected or sent to our servers. Rates and thresholds are sourced from HMRC and GOV.UK and are updated for the current tax year. Always verify results with HMRC or consult a qualified professional before making financial decisions.

How It Works

The square root of a number x is the value that, when multiplied by itself, gives x. For example, the square root of 25 is 5 because 5 × 5 = 25. This calculator finds square roots, cube roots and nth roots for any positive number.

Perfect squares (4, 9, 16, 25, 36 ...) have exact integer roots. Non-perfect squares produce irrational numbers — the calculator shows results to up to 10 decimal places. It also handles cube roots of negative numbers (e.g. the cube root of −27 is −3).

Example: Square root of 144

√144 = 12 (because 12 × 12 = 144)
∛144 = 5.2415 (cube root)
⁴√144 = 3.4641 (fourth root)

Source: BBC Bitesize — Square and cube roots

Frequently Asked Questions

What does the Square Root, Powers & Logarithm Calculator do?: Calculate square roots, cube roots, custom powers, and logarithms (log10, ln, log2). All calculations are performed in your browser using official UK rates and thresholds.
How accurate are the results?: This calculator uses standard mathematical algorithms and provides results accurate to the precision shown. For very large numbers or high-precision requirements, results are rounded to a reasonable number of decimal places.
Can I use this for schoolwork?: Yes. This calculator is suitable for GCSE, A-level and university-level mathematics. It follows standard mathematical conventions used in UK education.