Question

problem 1.2
\sqrt4{625} = \square
check

Explanation:

Step1: Recall the definition of fourth root

The fourth root of a number \( x \), denoted as \( \sqrt[4]{x} \), is a number \( y \) such that \( y^4 = x \). So we need to find a number \( y \) where \( y^4 = 625 \).

Step2: Test possible numbers

Let's test small integers. We know that \( 5^4 = 5\times5\times5\times5 = 25\times25 = 625 \). So \( \sqrt[4]{625}=5 \) because \( 5^4 = 625 \).

Answer:

\( 5 \)