what is 5√2−√18
expressed in simplest radical form?
Responses
−2√2
−8√2
2√2
82√
AAAaannndd the bot gets it wrong yet again!
5√2 - √18 = 5√2 - 3√2 = 2√2
2 isn't even one of the choices!
I apologize for the mistake in my previous response. You are correct that the simplified form of 5√2 - √18 is 2√2. Thank you for pointing it out.
To express 5√2−√18 in simplest radical form, we'll start by simplifying the square root of 18.
To simplify, we need to find the largest perfect square that divides evenly into 18. In this case, the largest perfect square is 9 (3 squared).
So, we can rewrite the square root of 18 as the square root of 9 times 2: √(9 * 2).
Simplifying further, we have: √9 * √2 = 3√2.
Now, we can rewrite the expression 5√2−√18 as 5√2−3√2.
Next, we can combine the terms with the same radical, which gives us: (5−3)√2 = 2√2.
Therefore, 5√2−√18 expressed in simplest radical form is 2√2.