$$ \begin{array}{l} ext { Rationalize } \ ext { the } \ ext { denominator. }\end{array} \quad \sqrt{\frac{14}{3}}=\square $$ (Simplify your answer. Type an exact answer, using radicals as needed.) $$ \sqrt{\frac{14}{3}} $$

Question

$$ \begin{array}{l}	ext { Rationalize } \ 	ext { the } \ 	ext { denominator. }\end{array} \quad \sqrt{\frac{14}{3}}=\square $$ (Simplify your answer. Type an exact answer, using radicals as needed.) $$ \sqrt{\frac{14}{3}} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt{\frac{14}{3}} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{\frac{14}{3}}$$
- step1: Use the properties of radicals:
  $$\frac{\sqrt{14}}{\sqrt{3}}$$
- step2: Multiply by the Conjugate:
  $$\frac{\sqrt{14}	imes \sqrt{3}}{\sqrt{3}	imes \sqrt{3}}$$
- step3: Multiply the numbers:
  $$\frac{\sqrt{42}}{\sqrt{3}	imes \sqrt{3}}$$
- step4: Multiply the numbers:
  $$\frac{\sqrt{42}}{3}$$
The rationalized form of $$ \sqrt{\frac{14}{3}} $$ is $$ \frac{\sqrt{42}}{3} $$.
$$ \sqrt{\frac{14}{3}} = \frac{\sqrt{42}}{3} $$

(Simplify your answer. Type an exact answer, using radicals as needed.)

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Pre Algebra Questions