What is 7 sqrt 8 - 2 sqrt 8?
Mr. Garcia pays $834 for some model cars and model planes. Each model car cost $52. and each model plane cost $14. less than each model car. Mr. Garcia buys 3 more planes than cars. How many model planes does he buy?
Mr. Garcia bought 8 cars at 52 each for a total of 416. He bought 11 planes (3 more planes than cars) at 38 each (52-14) for a total of 418. Add 416 to 418 and there is 834 total.
To subtract the expressions 7√8 and 2√8, both terms must have the same radicand (the number under the square root symbol). In this case, the radicand is 8.
So, we can rewrite the expression as:
7√8 - 2√8
Since both terms have the same radicand, we can combine them:
(7 - 2)√8
Simplifying further, we get:
5√8
So, 7√8 - 2√8 is equal to 5√8.