simplify (12)/(sqrt(7)+2) — step-by-step solution

Let's reduce:

\frac{12}{\sqrt{7} + 2}

Multiply numerator and denominator by the conjugate

\sqrt{7} - 2

: (a+b)(a-b) = a²-b², here

{(\sqrt{7})}^{2} - 2^{2}

7 - 4

3

ⅰ

\frac{12}{\sqrt{7} + 2}

\frac{12 \times (\sqrt{7} - 2)}{3}

\frac{12 \times (\sqrt{7} - 2)}{3}

ⓘ A fraction is simplified by dividing the numerator and the denominator by the same number:

\frac{12 \times (\sqrt{7} - 2)}{3}

4 \times (\sqrt{7} - 2)

▶Simplified form:

4 \times (\sqrt{7} - 2)

The numeric value of:

4 \times (\sqrt{7} - 2)

is:

4 \times (\approx 2.6458 - 2)

4 \times \approx 0.6458

▷

\approx 2.5830