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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.)
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How do you add simplified square roots?
You can add simplified square roots only if the radicals are the same and, in that case, you treat the radicals as you would treat a variable in algebra.For example, sqrt(18) + sqrt(50)= sqrt(9*2) + sqrt(25*2)= 3*sqrt(2) + 5*sqrt(2)= [3 + 5]*sqrt(2)= 8*sqrt(2)
How is combining like terms similar to adding and subtracting square roots?
In surd form, square roots need to be have the same radical term before you can add or subtract them. However, unlike in algebraic expressions, it is possible to add or subtract square roots using approximate (decimal) values.
Every positive number has 2 square roots a square root and its opposite?
Yes, but it is not the case that one is the square root and the other is its opposite. Both are equal square roots with the other one being its opposite.
What are all the square roots of 1600?
Like every other number 1600 has only two square roots, plus and minus 40.
How to get rid of sqare roots in an equation?
square the other side.
