1. Write the expression in simplified radical form. Show all work.
5/2 - √3
2. Solve the equation. Show your check. Show all your work.
-2 + √3x + 4 = 6
5/2 - √3 is already simplified. Do you mean 5/(2-√3) ?
5/(2-√3) = 5/(2-√3) × (2+√3)/(2+√3)
= 5(2+√3)/(2²-√3²)
= 10+5√3
:::::
do you mean -2 + √(3x+4) ?
-2 + √(3x+4) = 6
√(3x+4) = 8
3x+4 = 64
3x = 60
x = 20
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Verified answer
5/2 - √3 is already simplified. Do you mean 5/(2-√3) ?
5/(2-√3) = 5/(2-√3) × (2+√3)/(2+√3)
= 5(2+√3)/(2²-√3²)
= 10+5√3
:::::
do you mean -2 + √(3x+4) ?
-2 + √(3x+4) = 6
√(3x+4) = 8
3x+4 = 64
3x = 60
x = 20