radical 180 minus radical 5 plus 3 radical 98 simplified
To simplify the expression, we can first simplify the square roots.
√180 can be simplified as √(36 * 5). Since 36 is a perfect square, we can take the square root: √36 = 6. Therefore, √180 = √(36 * 5) = √36 * √5 = 6√5.
√98 can be simplified as √(49 * 2). Since 49 is a perfect square, we can take the square root: √49 = 7. Therefore, √98 = √(49 * 2) = √49 * √2 = 7√2.
Now we can substitute these simplified square roots back into the expression:
6√5 - √5 + 3(7√2) = 6√5 - √5 + 21√2.
This is the simplified form of the expression.