# What is the solution to the equation 1 over the square root of 8 = 4(m + 2)?

Equations are very important concepts of mathematics. Equations can be of different types depending on the types of variables and functions it has; which include algebraic equations, polynomial equations, trigonometric equations etc.

## Answer: The solution to the equation: 1 over the square root of 8 = 4(m + 2) is m = (√2 - 32) / 16.

Let's understand the solution in detail.

**Explanation:**

Given equation: 1 / √8 = 4 (m + 2)

We can write √8 = 2√2.

⇒ 4 (m + 2) = 1 / 2√2

⇒ m + 2 = 1 / 8√2

⇒ m = (1 / 8√2) - 2

Now, we represent the above value of m in standard form.

⇒ m = (1 - 16√2) / 8√2

Multiplying the numerator and denominator by √2.

⇒ m = (√2 - 32) / 16