How do you simplify #sqrt1500/sqrt9.8?#

2 Answers
Jul 31, 2018

Answer:

#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#

Jul 31, 2018

Answer:

#(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#