Question

Simplify: 20 + √216 all over 2

Answer 1

Answer:

10 + 3(√6)

Step-by-step explanation:

To simplify this expression, take what is divisible by 2 in the numerator (top) out of the fraction. For the square root number, change it to a mixed radical form (an equivalent number multiplied by a smaller root) by taking out square numbers.

$\frac{20+\sqrt{216}}{2}$      Split the fraction to see what can be divided

$=\frac{20}{2}+\frac{\sqrt{216}}{2}$     20/2 = 10

$=10+\frac{\sqrt{216}}{2}$      Simplify the root. 216 = 4*9*6

$=10+\frac{\sqrt{4*9*6}}{2}$        4 and 9 are square numbers. Take out the square root of those factors.

$=10+\frac{2\sqrt{9*6}}{2}$     Took out the √4 first.

$=10+\frac{2*3\sqrt{6}}{2}$     Took out √9.   (√4)(√9) = 2*3

$=10+\frac{6\sqrt{6}}{2}$         The mixed radical is 6√6. Divide it by 2.

$=10+3\sqrt{6}$       Answer

Answer 2

Answer:

the answer is 10+3$\sqrt{6\\}$ or 17.35