How do you simplify $sqrt75/sqrt3$ ?

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Answer 1 · 2018-07-29T11:00:04

$+-5$

$"using the "color(blue)"law of radicals"$

$•color(white)(x)sqrta/sqrtbhArrsqrt(a/b)$

$sqrt75/sqrt3=sqrt(75/3)=sqrt25=+-5$

Answer 2 · 2018-07-29T18:02:28

$pm5$

We can rewrite $sqrt75$ as $sqrt25sqrt3$ . We now have:

$(sqrt25sqrt3)/sqrt3$

We can cancel out common factors in the numerator and denominator to get

$(sqrt25cancelsqrt3)/cancelsqrt3=sqrt25=pm5$

Another way to approach this is leveraging the radical law

$sqrta/sqrtb=sqrt(a/b)$ . With this in mind, we can rewrite this entire expression as

$sqrt(75/3)=sqrt25=+-5$

Hope this helps!

How do you simplify sqrt75/sqrt3sqrt75/sqrt3?