(radical6-5radical)-(radical10+radical3)
To simplify the expression (radical6-5radical)-(radical10+radical3), we can start by simplifying each radical term separately and then combining like terms.
1. Simplify radical terms individually:
- The square root of 6 cannot be simplified any further, so it remains as √6.
- The square root of 10 can be simplified by factoring the radicand. It can be written as √(2 * 5), which further simplifies to √2√5.
- The square root of 3 cannot be simplified any further, so it remains as √3.
2. Expand the expression:
(radical6 - 5radical) - (radical10 + radical3)
Rewrite as:
√6 - 5√10 - √3
3. Combine like terms:
√6 and -√3 are unlike terms, so they cannot be combined.
-5√10 is the only term that contains √10, so it remains as is.
Thus, the simplified expression is:
√6 - 5√10 - √3