Question

what is simplest rationalisation
of 3root 500??
​

Answer 1

We have,

$\quad \: 3 \sqrt{500} \\ \\ = 3 \sqrt{5 \times 100} \\ \\ = 3 \sqrt{5 \times {(10)}^{2} } \\ \\ = 3 \times 10 \sqrt{5} \\ \\ = 30 \sqrt{5}$
Hence, the simplest rationalisation is : $\underline{ \boxed {\quad \: 30 \sqrt{5} \quad}}$

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