simplify.\n$sqrt{50}$

simplify.\n$sqrt{50}$

simplify.\n$sqrt{50}$

Answer

Explanation:

Step1: Factorize 50

$50 = 25\times2$

Step2: Apply square - root property

$\sqrt{50}=\sqrt{25\times2}$ Since $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a = 25$, $b = 2$), we have $\sqrt{25\times2}=\sqrt{25}\times\sqrt{2}$

Step3: Calculate $\sqrt{25}$

$\sqrt{25}=5$, so $\sqrt{25}\times\sqrt{2}=5\sqrt{2}$

Answer:

$5\sqrt{2}$