How do you simplify sqrt(32x^3)? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Don't Memorise Mar 14, 2016 =4 xsqrt( 2 x Explanation: sqrt(32x^3 =sqrt (32 * color(purple) ( x^2) * x^1 Simplifying sqrt32 sqrt(32) = sqrt(2*2*2*2*2) = sqrt(color(blue)(2^2 * 2^2) * 2)=color(blue)( 2 *2) sqrt2 = 4 sqrt2 The expression becomes: sqrt (32 * color(purple)( x^2) * x^1 ) = 4 sqrt( 2 * color(purple)(x^2) * x^1 =4 * color(purple)(x)sqrt( 2 * x^1 =4 xsqrt( 2 x 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 3638 views around the world You can reuse this answer Creative Commons License