Question

simplify the following surd 350
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Answer 1

Step-by-step explanation:

search for the factors of 350 looking for one that is a perfect square.

In this case 25 x 14

25 being the perfect square.

$\sqrt{350} = \sqrt{25 \times 14}$

now

$\sqrt{ab \: = \sqrt{a \times \sqrt{b} } }$

(so long as at least one of a and b is not negative )

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$\sqrt{25 \times 14 = \sqrt{25 \times \sqrt{14} } }$

the factors of 14 do not contain any square numbers apart from 1 and so

$\sqrt{14}$

cannot be simplified any further.

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$\sqrt{350 = 5 \sqrt{14} }$