simplify. $sqrt{48}$

simplify. $sqrt{48}$

simplify. $sqrt{48}$

Answer

Explanation:

Step1: Factorize 48

$48 = 16\times3$

Step2: Apply square - root property

$\sqrt{48}=\sqrt{16\times3}$ Since $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a = 16$, $b = 3$), we have $\sqrt{16\times3}=\sqrt{16}\times\sqrt{3}$

Step3: Calculate $\sqrt{16}$

$\sqrt{16}=4$ So, $\sqrt{16}\times\sqrt{3}=4\sqrt{3}$

Answer:

$4\sqrt{3}$