How do you write #sqrt37# in exponential form?
1 Answer
May 5, 2017
Explanation:
#" using "color(blue)"law of exponents"#
#• a^mxxa^n=a^((m+n))#
#a^(1/2)xxa^(1/2)=a^((1/2+1/2))=a^1=a#
#"also "a^(1/2)xxa^(1/2)=(a^(1/2))^2#
#rArr(a^(1/2))^2=a#
#color(blue)"take the square root of both sides"#
#sqrt((a^(1/2))^2)=sqrta#
#rArra^(1/2)=sqrtalarrcolor(red)" in general"#
#"Thus " sqrt37=37^(1/2)#
