# How do you find a one-decimal place approximation for #root3 99#?

##### 1 Answer

#### Explanation:

If

So, we must look for two numbers

First of all, let's focus on the nearest integer: we only need to make some calculation and go on with trials and errors: we'll begin listing the first cubes:

#1^3 = 1# ;#2^3 = 8# ;#3^3 = 27# ;#4^3 = 64# #5^3 = 125# .

From this list, we deduce that the third root of

Now we can simply list the numbers between

#4,1^3=68.921# ;#4,2^3=74.088# ;#4,3^3=79.507# ;#4,4^3=85.184# ;#4.5^3 = 91.125# ;#4.6^3 = 97.336# ;#4.7^3 = 103.823# .

There we go. The third root of

Just to confirm our calculations, the calculator gave me back