How do you simplify 7sqrt(63m^3p)? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Alan P. Mar 9, 2018 7sqrt(63m^3p)=color(blue)(21msqrt(7mp)) Explanation: 63=7xx9=7xx3^2 m^3=mxxm^2 Therefore 7sqrt(63m^3p) color(white)("XXX")=7sqrt(7xx3^2xxmxxm^2xxp) color(white)("XXX")=7 * sqrt((3m)^2) * sqrt(7mp) color(white)("XXX")=7 * (3m) * sqrt(7mp) color(white)("XXX")=21msqrt(7mp) Answer link Related questions How do you simplify radical expressions? How do you simplify radical expressions with fractions? How do you simplify radical expressions with variables? What are radical expressions? How do you simplify root{3}{-125}? How do you write ""^4sqrt(zw) as a rational exponent? How do you simplify ""^5sqrt(96) How do you write ""^9sqrt(y^3) as a rational exponent? How do you simplify sqrt(75a^12b^3c^5)? How do you simplify sqrt(50)-sqrt(2)? See all questions in Simplification of Radical Expressions Impact of this question 2134 views around the world You can reuse this answer Creative Commons License