Free Maths Calculator
Surds Calculator
Simplify surds, multiply them, and rationalise denominators, keeping every answer exact instead of reaching for a decimal. Square factors are hunted down and named, and the rationalising step shows why multiplying by root a over root a is allowed: it is just multiplying by one.
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Your question
Answer
Method, Step by Step
Worked Example
Simplify √48.
- Find the biggest square factor:48 = 16 × 3
- Split the root:√48 = √16 × √3 = 4√3
Answer: 4√3
Try These Yourself
Simplify √50.Show answer
Answer: 5√2
50 = 25 × 2.
Work out √8 × √2.Show answer
Answer: 4
√16 = 4.
Rationalise 6/√3.Show answer
Answer: 2√3
6√3 ÷ 3 = 2√3.