Question

question
rewrite \\(\sqrt3{343}\\) in simplest form.
answer attempt 1 out of 2
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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 \( y^3=343 \).

Step2: Find the cube of integers

We know that \( 7\times7\times7 = 7^3=343 \).

Step3: Simplify the cube root

Since \( 7^3 = 343 \), by the definition of cube root, \( \sqrt[3]{343}=\sqrt[3]{7^3} = 7 \).

Answer:

\( 7 \)