Question

19 true/false. the equation represents the simplified square root for the following non - perfect square. drag your answer into the green answer space. \\(\sqrt{72} = 6\sqrt{2}\\) true false drag answer here!

Explanation:

Step1: Factorizar 72

Descomponemos 72 en factores: \( 72 = 36 \times 2 \), donde 36 es un cuadrado perfecto (\( 6^2 \)).

Step2: Simplificar la raíz

Usamos la propiedad \( \sqrt{ab} = \sqrt{a} \times \sqrt{b} \) (para \( a,b \geq 0 \)): \( \sqrt{72} = \sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2} \).
Como \( \sqrt{36} = 6 \), entonces \( \sqrt{72} = 6\sqrt{2} \).

Answer:

TRUE