Question

what is √72 in simplest radical form? (a) 6√2 (b) 4√3 (c) 2√18 (d) 8√2

Explanation:

Step1: Factorizar 72

Descomponemos 72 en factores primos: $72 = 2\times36=2\times6\times6 = 2\times2\times3\times3\times2$.

Step2: Reescribir la raíz

$\sqrt{72}=\sqrt{2\times2\times3\times3\times2}$.

Step3: Sacar factores fuera de la raíz

$\sqrt{2\times2\times3\times3\times2}=\sqrt{2^2\times3^2\times2}=2\times3\sqrt{2}=6\sqrt{2}$.

Answer:

A. $6\sqrt{2}$