What is the simplest radical form of ${(11 \sqrt{55})}^{2}$ $(11sqrt55)^2$ ?

Question

1280 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-05T07:52:30

6655

${(11 \sqrt{55})}^{2} = (11 \sqrt{55}) \times (11 \sqrt{55})$ $(11sqrt55)^2 = (11sqrt55)xx (11sqrt55)$

$= 11^{2} \times {(55^{\frac{1}{2}})}^{2} = 11^{2} \times 55^{1}$ $= 11^2 xx (55^(1/2))^2 = 11^2 xx 55^1$

$= 121 \times 55 = 6655$ $= 121 xx 55 = 6655$

Hence, the simplest form of the expression is not a radical but rather the integer 6655

What is the simplest radical form of (11sqrt55)^2(11√55)2(11sqrt55)^2?