Square roots and cube roots get all the classroom time, but the fifth root earns its keep in the wild — most famously in finance, where the compound annual growth rate (CAGR) over five years is literally a fifth root. If an investment grew from $10,000 to $16,105 over five years, the annual growth rate is the fifth root of 1.6105 minus one: about 10% per year. Any "average yearly rate over five periods" question — population growth across a census cycle, a startup's five-year revenue multiple — is a fifth root wearing a business suit.

Mathematically, the fifth root of x is the number that multiplies by itself five times to give x: the fifth root of 32 is 2 (2⁵ = 32), and unlike even roots, odd roots handle negatives gracefully — the fifth root of −243 is −3, because five negative factors make a negative product. This calculator returns the fifth root and then verifies it by raising the answer to the fifth power, closing the loop so you can see the round trip. For estimation, remember the landmarks: fifth roots grow slowly, so ⁵√100,000 is 10 and ⁵√32 is just 2 — the answer always sits between the neighboring perfect fifth powers.

With the pre-filled defaults — Number (x) 32 — the Fifth Root Calculator returns ⁵√x (fifth root) 2.00000000, (⁵√x)⁵ ≈ x 32.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.