How do you simplify $-5/(2sqrt112)$ ?

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Answer 1 · 2016-08-06T01:46:52

$(-5sqrt(7))/56$

$-5/(2sqrt(112))$

Rationalise the denominator:
$(-5sqrt(112))/(2sqrt(112)sqrt(112)$ $= (-5sqrt(112))/(2*112)$

Express the $sqrt(112)$ as the root of the product of prime numbers:

$= (-5*sqrt(2*2*2*2*7))/224$

Each pair of primes may be taken out of the $sqrt$

$=(-5*2*2sqrt(7))/224$

$=(-5sqrt(7))/56$

How do you simplify -5/(2sqrt112)-5/(2sqrt112)?