4 sqrt 32 -3 sqrt 2=
Is this saying:
4√ 32 - 3√ 2 =?
yes
4√32 - 3√2 =
16√2 - 3√2 = 13√2
Thanks for the help!
You're welcome.
To simplify the expression 4√32 - 3√2, you can start by finding the prime factorization of each number inside the square roots.
The prime factorization of 32 is 2 * 2 * 2 * 2 * 2, or 2^5.
The prime factorization of 2 is 2.
Now, rewrite the expression with the prime factorization:
4√(2 * 2 * 2 * 2 * 2) - 3√2
Next, you can simplify each square root individually:
4 * 2√2 - 3√2
Now, combine the like terms:
8√2 - 3√2
Since the square root term is the same in both terms, you can combine them:
(8 - 3)√2
Simplify further:
5√2
So, 4√32 - 3√2 simplifies to 5√2.