How do you simplify sqrt1500/sqrt9.8?

2 Answers
Kalyanam S.
Jul 31, 2018

color(crimson)(=> sqrt(7500 / 49)color(blue)(= 12.3718

Explanation:

sqrt1500 / sqrt 9.8

=> sqrt(1500/9.8)

=> sqrt ((1500*5) / (9.8 * 5))

color(crimson)(=> sqrt(7500 / 49)

color(blue)(=> 12.3718

Jim G.
Jul 31, 2018

(50sqrt3)/7

Explanation:

"using the "color(blue)"laws of radicals"

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

•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)

sqrt1500/sqrt9.8

=sqrt(1500/9.8)

=sqrt(1500xx10)/(9.8xx10)

=sqrt(15000/98)

=(100sqrt1.5)/(7sqrt2)

=(100sqrt(3/2))/(7sqrt2)

=(100sqrt3)/(7sqrt2xxsqrt2)=(100sqrt3)/14=(50sqrt3)/7

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