Question

what is $sqrt3{216}$? $-72$ $-6$ $6$ $72$

Explanation:

Step1: Recall the definition of cube root

The cube root of a number \( x \), denoted as \( \sqrt[3]{x} \), is a number \( y \) such that \( y^3 = x \). So we need to find a number \( y \) where \( y^3=216 \).

Step2: Test possible numbers

Let's test positive and negative integers.

• For \( y = 6 \): \( 6^3=6\times6\times6 = 216 \).
• For \( y=- 6 \): \( (-6)^3=(-6)\times(-6)\times(-6)=-216

eq216 \).

• For \( y = 72 \): \( 72^3 \) is a very large number (much larger than 216).
• For \( y=-72 \): \( (-72)^3 \) is a very large negative number (not equal to 216).

Answer:

6