find square root of 128 using subtraction method
Answers
Answer:
We know that the square root of 128 is
128*128=16384
Step-by-step explanation:
The process here is to simplify radicals. Using a tree diagram, you can break down 128 into it's constituent prime number factors.
128
/ \
2 64
/ \
2 32
/ \
2 16
/ \
2 8
/ \
2 4
/ \
2 2
Counting the prime factors, the number 2 shows up seven times, so
128
=
2
7
, which gives us
√
128
=
√
2
7
=
√
2
6
⋅
2
=
2
3
⋅
√
2
=
8
⋅
√
2