Final answer to the problem
$\left(2\sqrt{\left(3\right)^{3}}-\sqrt{3}\right)i$
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1
Apply the formula: $a^n$$=\left(-a\right)^ni$, where $a^n=\sqrt{3}$
$\sqrt{108}i-\sqrt{3}i$
Learn how to solve soustraction de radicaux problems step by step online.
$\sqrt{108}i-\sqrt{3}i$
Learn how to solve soustraction de radicaux problems step by step online. Simplify the subtraction of radicals (-108)^(1/2)-(-3)^(1/2). Apply the formula: a^n=\left(-a\right)^ni, where a^n=\sqrt{3}. Factor the polynomial \sqrt{108}i-\sqrt{3}i by it's greatest common factor (GCF): i. Apply the formula: x^a=pfgmin\left(x\right)^a, where a=\frac{1}{2} and x=108. Apply the formula: \left(ab\right)^n=a^nb^n, where a=2^{2}, b=3^{3} and n=\frac{1}{2}.
Final answer to the problem
$\left(2\sqrt{\left(3\right)^{3}}-\sqrt{3}\right)i$
