Roots Multiplication & Division Calculator
With Step-by-Step Solutions
Multiply Square Roots
Enter square roots to multiply:
Coeff:
√
×
Coeff:
√
Multiply Roots
Multiplication Result:
-
Multiplication Rule:
√a × √b = √(a × b)
k√a × m√b = (k × m)√(a × b)
Step-by-Step Solution:
Enter square roots to see solution steps
Divide Square Roots
Enter square roots to divide:
Coeff:
√
÷
Coeff:
√
Divide Roots
Division Result:
-
Division Rule:
√a ÷ √b = √(a ÷ b)
k√a ÷ m√b = (k ÷ m)√(a ÷ b)
Step-by-Step Solution:
Enter square roots to see solution steps
Rules for Simplifying Square Roots
√(a × b) = √a × √b (Multiplication Rule)
√(a ÷ b) = √a ÷ √b (Division Rule)
To simplify √n, find the largest perfect square factor of n
√(a²) = a (for a ≥ 0)
a√b × c√d = (a×c)√(b×d)
a√b ÷ c√d = (a÷c)√(b÷d)