We read your photo as:

Devoir à Domicile - 3 APIC

October 9, 2026Mathematics

ScanSolve AI Answer

Answer

A = 16 + \frac{3\sqrt{2}}{2}

4 steps

سأقوم بحل التمرين الأول، الجزء 1.أ.

نبدأ بتبسيط التعبير $A$ .
$A = \sqrt{16} + (2\sqrt{3})^2 + \sqrt{6} \times \frac{\sqrt{3}}{2}$
نحسب قيمة $\sqrt{16}$ ونبسط $(2\sqrt{3})^2$ .
$\sqrt{16} = 4$ $(2\sqrt{3})^2 = 2^2 \times (\sqrt{3})^2 = 4 \times 3 = 12$
نبسط الجزء الأخير من التعبير $\sqrt{6} \times \frac{\sqrt{3}}{2}$ .
$\sqrt{6} \times \frac{\sqrt{3}}{2} = \frac{\sqrt{6 \times 3}}{2} = \frac{\sqrt{18}}{2}$ $\frac{\sqrt{18}}{2} = \frac{\sqrt{9 \times 2}}{2} = \frac{3\sqrt{2}}{2}$
نجمع الأجزاء المبسطة للحصول على قيمة $A$ .
$A = 4 + 12 + \frac{3\sqrt{2}}{2}$ $A = 16 + \frac{3\sqrt{2}}{2}$

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question