$\\sqrt3{343} = \\square$
$\\sqrt3{343} = \\square$
Answer
Explanation:
Step1: Recall cube of integers
We know that to find the cube root of a number ( n ), we need to find an integer ( x ) such that ( x^3=n ). Let's recall the cubes of small integers. We know that ( 7\times7\times7 = 7^3). Calculating ( 7\times7 = 49 ), then ( 49\times7=343 ). So ( 7^3 = 343 ).
Step2: Apply cube - root definition
By the definition of cube root, if ( x^3 = a ), then ( \sqrt[3]{a}=x ). Since ( 7^3 = 343 ), then ( \sqrt[3]{343}=7 ).
Answer:
( 7 )