Simplify completely: $$ \sqrt{9 x y^{4}} \cdot \sqrt{24 x^{2} y^{3}} $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt(9*x*y^4) * \sqrt(24*x^2*y^3) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\sqrt{9xy^{4}}	imes \sqrt{24x^{2}y^{3}}$$
- step1: Simplify the root:
  $$3y^{2}\sqrt{x}	imes \sqrt{24x^{2}y^{3}}$$
- step2: Simplify the root:
  $$3y^{2}\sqrt{x}	imes 2xy\sqrt{6y}$$
- step3: Calculate:
  $$3y^{2}	imes 2xy\sqrt{6xy}$$
- step4: Multiply the terms:
  $$6y^{2}xy\sqrt{6xy}$$
- step5: Calculate:
  $$6y^{3}x\sqrt{6xy}$$
- step6: Reorder the terms:
  $$6xy^{3}\sqrt{6xy}$$
The simplified form of $$ \sqrt{9 x y^{4}} \cdot \sqrt{24 x^{2} y^{3}} $$ is $$ 6xy^{3}\sqrt{6xy} $$.
$$ 6xy^{3}\sqrt{6xy} $$

Simplify completely:

Solución de inteligencia artificial de Upstudy

Responder

Solución

preguntas relacionadas

Latest Algebra Questions