How do you multiply $(3 \sqrt{6}) (2 \sqrt{50})$ $(3sqrt6)(2sqrt50)$ ?

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Answer 1 · 2015-12-21T16:58:09

$= 60 \sqrt{3}$ $=color(blue)(60sqrt3$

$3 \sqrt{6} \times 2 \sqrt{50}$ $color(blue)(3sqrt6) xx 2sqrt50$

$= 3 \times 2 \times \sqrt{6} \times \sqrt{50}$ $= color(blue)(3 xx2) xx sqrt6 xx sqrt50$

$= 6 \times \sqrt{300}$ $= color(blue)(6) xx sqrt300$

Prime factorising $300$ $300$

$300 = 2 \cdot 2 \cdot 5 \cdot 5 \cdot 3$ $300=2*2*5*5*3$

So, $\sqrt{300} = \sqrt{2 \cdot 2 \cdot 5 \cdot 5 \cdot 3}$ $sqrt300=sqrt(2*2*5*5*3)$

$= \sqrt{2^{2} \times 5^{2} \times 3}$ $=sqrt(2^2xx5^2xx3)$

$= 2 \times 5 \sqrt{3}$ $=2 xx 5sqrt( 3)$

$= 10 \sqrt{3}$ $=10sqrt( 3)$

The expression becomes:
$= 6 \times \sqrt{300} = 6 \times 10 \sqrt{3}$ $= color(blue)(6) xx sqrt300 = color(blue)(6 xx 10sqrt3$

$= 60 \sqrt{3}$ $=color(blue)(60sqrt3$

How do you multiply (3sqrt6)(2sqrt50)(3√6)(2√50) (3sqrt6)(2sqrt50)?