How do you evaluate $5 \sqrt{6} - 3 \sqrt{24} + \sqrt{150}$ $5\sqrt { 6} - 3\sqrt { 24} + \sqrt { 150}$ ?

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Answer 1 · 2017-03-01T13:38:42

$4 \sqrt{6}$ $4sqrt6$

$5 \sqrt{6} - 3 \sqrt{24} + \sqrt{150}$ $5sqrt6-3sqrt24+sqrt150$

Write down the factors within each square root sign.

$5 \sqrt{2 \cdot 3} - 3 \sqrt{2 \cdot 2 \cdot 2 \cdot 3} + \sqrt{5 \cdot 5 \cdot 2 \cdot 3}$ $5sqrt(2*3)-3sqrt(2*2*2*3)+sqrt(5*5*2*3)$

Remove the squares from the square root signs.

$5 \sqrt{2 \cdot 3} - (3 \times 2) \sqrt{2 \cdot 3} + 5 \sqrt{2 \cdot 3}$ $5sqrt(2*3)-(3xx2)sqrt(2*3)+5sqrt(2*3)$

Simplify.

$5 \sqrt{6} - 6 \sqrt{6} + 5 \sqrt{6}$ $5sqrt6-6sqrt6+5sqrt6$

Keeping the square root separate, add or subtract the whole numbers according to their preceding signs.

$(5 - 6 + 5) \sqrt{6}$ $(5-6+5)sqrt6$

$4 \sqrt{6}$ $4sqrt6$

How do you evaluate 5√6−3√24+√1505\sqrt { 6} - 3\sqrt { 24} + \sqrt { 150}?