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exercises simplify the quotient. 37. \\(\\frac{4}{\\sqrt{3}}\\)

Question

exercises
simplify the quotient.

  1. \\(\frac{4}{\sqrt{3}}\\)

Explanation:

Step1: Rationalize the denominator

Multiply numerator and denominator by $\sqrt{3}$:
$\frac{4}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{4\sqrt{3}}{\sqrt{3} \times \sqrt{3}}$

Step2: Simplify the denominator

Calculate $\sqrt{3} \times \sqrt{3} = 3$:
$\frac{4\sqrt{3}}{3}$

Answer:

$\frac{4\sqrt{3}}{3}$