Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

look at this equation: $h^3 = 729$ what is $h$, the cube root of 729? $…

Question

look at this equation:
$h^3 = 729$
what is $h$, the cube root of 729?
$h = \boxed{}$

Explanation:

Step1: Recall the definition of cube root

The cube root of a number \( x \) is a value \( y \) such that \( y^3 = x \). So we need to find a number \( h \) where \( h^3 = 729 \).

Step2: Test integer values

We know that \( 9\times9 = 81 \), and then \( 9\times9\times9=9^3 = 729 \). So when we calculate \( 9^3 \), we get \( 9\times9 = 81 \), and \( 81\times9 = 729 \).

Answer:

\( 9 \)