What's an Exact Surd?

Roots that cannot be written as exact decimals are called surds. Leaving an answer in surd form means the answer is exact.

What is an exact surd in its simplest form?

A surd is said to be in its simplest form when the number under the root sign has no square factors. For example √72 can be reduced to √4×18=2√18. But 18 still has the factor 9, so we can simplify further: 2√18=2√9×2=2×3√2=6√2.

What is a surd example?

Surds definition in math refers to the numbers that do not have answers to their roots. A few examples of surds as √5, 3√7, 2+√3, √6+2√3 5 , 7 3 , 2 + 3 , 6 + 2 3 .