Question

question
express in simplest radical form given ( x > 0 ).
( -xsqrt{192x^4} + 6x^2sqrt{75x^2} )
answer attempt 1 out of 2

Explanation:

Step1: Factor radicals into perfect squares

$-x\sqrt{64 \cdot 3 \cdot x^4} + 6x^2\sqrt{25 \cdot 3 \cdot x^2}$

Step2: Simplify perfect square roots

$-x \cdot 8x^2\sqrt{3} + 6x^2 \cdot 5x\sqrt{3}$

Step3: Multiply coefficients and variables

$-8x^3\sqrt{3} + 30x^3\sqrt{3}$

Step4: Combine like radical terms

$(-8 + 30)x^3\sqrt{3}$

Answer:

$22x^3\sqrt{3}$