For showing the cube root of 8 = 2 and the cube root of 27 = 3
or an intention to find the cube root and raise to power 4 - Edexcel - GCSE Maths - Question 17 - 2022 - Paper 1
Question 17
For showing the cube root of 8 = 2 and the cube root of 27 = 3
or an intention to find the cube root and raise to power 4
Worked Solution & Example Answer:For showing the cube root of 8 = 2 and the cube root of 27 = 3
or an intention to find the cube root and raise to power 4 - Edexcel - GCSE Maths - Question 17 - 2022 - Paper 1
Step 1
Show that the cube root of 8 = 2
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Answer
To find the cube root of 8, we need to identify a number that when multiplied by itself three times (i.e., raised to the power of 3) gives us 8. Thus, we solve:
x3=8
Taking the cube root of both sides yields:
oot{3}{8} = 2$$
Therefore, the cube root of 8 is indeed 2.
Step 2
Show that the cube root of 27 = 3
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Answer
Similarly, for 27, we find the cube root by solving:
x3=27
Taking the cube root of both sides results in:
oot{3}{27} = 3$$
Thus, the cube root of 27 is confirmed to be 3.
