Answer: 2√10
Step-by-step explanation:
A way we can find what x equals, is to find the opposite of what ever sign is on a side, in the equation x^2=40, the opposite of squaring is to find the square root of it.
It is important that what you do to one side, you do to the other.
So we have to square root both sides so we can get rid of the ^2 on x to get x =. This would look like √x^2 = √40
The square root of x^2 would revert back to just x
To find the square root of 40, its important to first see if its a perfect square. In this scenario, it isnt. Because it isnt, we have to find the closest perfect square that we can multiply to get 40, in this equation, the closest would be 4 so we do 4*10.
Then we reduce the 4 by square root and we get 2
Then we cant do anything else with the 10, so we would right the answer as a radical, with the square root you got from the perfect square on the outside and the remainder on the inside of the square root, like x√r where x is the number obtained from square root and r is the remainder that we cant do anything else with.
After doing this, we get the answer 2√10, which can be said "two radical ten"
