Question

Solve (4√3)²
Solve this plzzzzzz

Answer 1

The value of $(4\sqrt{3})^{2}$ is $48$.

Tips:

If $\sqrt{a}$ be an irrational number, then its square is given by

$\quad (\sqrt{a})^{2}=a$

• Actually, this follows from $\sqrt{a}=a^{\frac{1}{2}}$

• and $(\sqrt{a})^{2}=(a^{\frac{1}{2}})^{2}=a^{\frac{2}{2}}=a^{1}=a$

Step-by-step explanation:

Now, $(4\sqrt{3})^{2}$

$=(4\times\sqrt{3})^{2}$

$=(4)^{2}\times (\sqrt{3})^{2}$

• since $(a\times b)^{n}=a^{n}\times b^{n}$

$=16\times 3$

• since $(\sqrt{a})^{2}=a$

$=48$