Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of 6.
A.5 square root of 14 minus 7 square root of 12
B.5 square root of 7 minus 7 square root of 6
C.7 square root of 12 minus 5 square root of 14
D.7 square root of 6 minus 5 square root of 7
To simplify the given expression, 5√7 + 12√6 - 10√7 - 5√6, start by grouping the terms with the same radical (the square root symbol).
Group the terms with √7: 5√7 - 10√7
This simplifies to: -5√7
Group the terms with √6: 12√6 - 5√6
This simplifies to: 7√6
Now, combine the simplified terms: -5√7 + 7√6
The simplified expression is: -5√7 + 7√6
So the answer is D. 7 square root of 6 minus 5 square root of 7.
Just collect like terms (same radical):
5√7 + 12√6 - 10√7 - 5√6
Should be easy now, right?
Can you simplify
5x+12y-10x-5y?
Same idea here.