SOLUTION: Can you help me simplify the equation: 30 divided by 4 plus the square root of ten. Step to step answers would be nice. Thank you.

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Question 142132: Can you help me simplify the equation: 30 divided by 4 plus the square root of ten. Step to step answers would be nice. Thank you.
Found 2 solutions by nabla, edjones:
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
30%2F%284%2Bsqrt%2810%29%29
To simplify this we need something called the conjugate. Basically, all that is is taking the sign from the denominator (+ in this case) and switching it (to - in this case). This makes it so that the denominator will not have a radical. We then multiply the original problem by the modified denominator divided by itself.
=30%2F%284%2Bsqrt%2810%29%29=30%2F%284%2Bsqrt%2810%29%29%2A%284-sqrt%2810%29%29%2F%284-sqrt%2810%29%29
Notice that this is not changing the number. We are simply multiplying by 1!
Now multiply it through:
=30%284-sqrt%2810%29%29%2F%2816-10%29=%28120-30sqrt%2810%29%29%2F6=20-5sqrt%2810%29
All I did was use FOIL on the denominator and then simplify (numerator and denominator had a 6 in common). That would be your final answer.

Answer by edjones(7311) About Me  (Show Source):
You can put this solution on YOUR website!
30/(4+sqrt(10)) I assume that this is the problem.
=30/(4+3.16228...)
=30/7.16228=4.18861...
.
Ed