Question

SAT college panda math problem please help. How is the answer 12?

Answer 1

Question:

`\sqrt{4 + √( x ) } = 1 + √(3)`

Solution:

`( \sqrt{4 + √(x) } {)}^(2) = (1 + { √(3) })^(2)`

`4 + √(x) = {( 1+ √(3) })^(2)`

`4 + √(x) = 1 + 2 √(3) +( √(3) {)}^(2)`

`4 + √(x) = 1 + 2 √(3) + 3`

`4 + √(x) = 4 + 2 √(3)`

`√(x) = 4 + 2 √(3) - 4`

`√(x) = 2 √(3)`

`( √(x) {)}^(2) = {2}^(2) * ( √(3) {)}^(2)`

`x = 4 * 3`

Therefore:
`x = 12`

I hope this helps.