Question

-3 V180

(the V is a radical symbol)
How would I write this in a simple radical form?

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Answer 1

`\bf -3√(180)\qquad \begin{cases} 180=&2\cdot 2\cdot 3\cdot 3\cdot 5\\ &2^2\cdot 3^2\cdot 5\\ &(2\cdot 3)^2\cdot 5\\ &6^2\cdot 5 \end{cases}\implies -3√(6^2\cdot 5)\implies -18√(5)`