# What is the solution to the equation - 1 over the square root of 8 = 4(m + 3)?

We will use the concept of algebraic equations in order to find the value of m.

## Answer: The solution to the equation - 1 over the square root of 8 = 4(m + 3) is m = (1 / 8**√**2) - 3

Let us see how we will use the concept of algebraic equations in order to find the value of m.

**Explanation:**

It is given that 1 over square root of 8 and that can be written mathematically as 1 / 2**√**2

Hence, 1 / 2**√**2 = 4(m + 3)

Rearranging, we get

1 = 8(m + 3)**√**2

1 = 8m**√**2 + 24**√**2

1 - 24**√**2 = 8m**√**2

⇒ 8m = (1 - 24**√**2) / **√**2

⇒ m = (1 / 8**√**2) - 24 / 8

⇒ m = (1 / 8**√**2) - 3