Question

Making use of the cube root of the table, find the cube roots of the following (correct to three decimal places).
7

Answer 1

Hint: Use this table

$number$	$\sqrt[3]{number}$
1	1.000
2	1.259
3	1.442
4	1.582
5	1.709
6	1.817
7	1.912
8	2.000
9	2.082
10	2.154

If multi digit number are given convert them into multiplication of unit digit numbers Example \[24:8\times 3\]
Complete step by step solution:
For this problem i.e.,
Finding the cube root of 7, use the given table in hint section
\[\sqrt[3]{7}=1\cdot 912\]
\[\therefore \]Answer is\[1\cdot 912\]

Note: We can appreciate the table because we can even calculate \[\sqrt[3]{70}\]by written
\[70=7\times 10\]
\[\sqrt[3]{70}=\sqrt[3]{7}\times \sqrt[3]{10}\]
From the table: \[\sqrt[3]{7}=1\cdot 912\]
\[\sqrt[3]{10}=2\cdot 154\]
\[\sqrt[3]{70}=\sqrt[3]{7}\times \sqrt[3]{10}\]
\[\Rightarrow 1\cdot 912\times 2\cdot 154\]
\[\Rightarrow 4\cdot 134\]