How do you solve this?

Question

Perform indicated operations & Solve.

6/ (3+ square root of 5)

6/ (3+ square root of 5)

the answer is 9-3(square root of 5)/5

How do you get that answer?

Answer 1

If this is a problem in a math class, the answer provided by abcde12345 is correct. He shows you the technique to simplify it, which is to multiply numerator and denominator by the "conjugate" of the denominator (which just means you change the sign of the square root part, so you get (3 - sqrt(5)).

If this is a problem in physics or some other class, and all you need is a value, then follow the suggestion of some others who recommend using a calculator.

Answer 2

Complete the operations inside the parentheses, then divide.

6/(3+√5)
6/5.236 (simplified inside parentheses, √5 is approximately equal to 2.236.)
1.146 (divided 6 by 5.236, rounded to 4 significant digits.)

Answer 3

6/ (3+5^1/2) = 4.5-1.5(5^1/2)
I believe you have to use calculator for 5^1/2.

Answer 4

6/(3+sq.root 5)
6(3-sq.root 5)/(3+sq.root5)(3-sq.root5)

6(3-sq.root 5)/9-5

6(3-sq.root 5)/4

3(3-sq.root 5)/2

Answer 5

1.146

Use a calculator

Answer 6

4.4