# Find x: if √(x + √(x + √(x… ∞))) = 6

The factor of a number which when multiplied by itself gives the same number. For example, both 2 and -2 are the square roots of 4.

## Answer: The value of x for the given expression is 6.

Let us proceed step by step

**Explanation:**

From the given data

√(x + √(x + √(x + … ∞))) = 6 ....... (1)

Using (1), we can also write the given expression as

√(x + 6) = 6

Let us square on both sides of the given equation, we get

(x + 6) = 36

x = 36 - 6

x = 30