Math Problem Statement

Simplify the expression to a, plus, b, ia+bi form:

square root of, 36, end square root, minus, square root of, minus, 4, end square root, minus, square root of, 121, end square root, plus, square root of, minus, 64, end square root

36​−−4​−121​+−64​

Solution

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Square Roots
Imaginary Numbers

Formulas

sqrt(a) where a >= 0
sqrt(-a) = i*sqrt(a) where a >= 0

Theorems

Properties of square roots
Definition of imaginary unit i (i = sqrt(-1))

Suitable Grade Level

Grades 9-12