The two square roots of 4 are 2 and -2. Both {2,-2} when squared, equal positive 4.
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The square roots of 4 are -2 and 2.
x=16
16*sqrt(3) * 4*sqrt(2) = 16*4*sqrt(3)*sqrt(2) = 64*sqrt(6)
Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.
Other than by calculating the square roots and adding the results there is no general method. However, by factorising the number (of which the square root is being taken), the square root can be simplified which may let the square root be added. Examples: √2 + √8 = √2 + √(4×2) = √2 + √4 × √2 = √2 + 2√2 (1 + 2)√2 = 3√2 √12 + √27 = √(4×3) + √(9×3) = 2√3 + 3√3 = 5√3 (Remember that the radical sign (√) means the positive square root.)