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1. Four more than the square root of a number is 12. What is the number?​

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PROBLEM SOLVING

Four more than the square root of a number is 12. What is the number?

The equation would be

4 + √x = √12

Solve for the value of x.

4 + √x = √12

(4 + √x)² = (√12)²

16 + x = 12

x = -16 + 12

x = 4i

A negative integer inside a radical sign is undefined.

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Answer:

64

Step-by-step explanation:

The statement 'four more than the square root of a number is 12' can be mathematically expressed as

√x + 4 = 12

Transpose 4 to the other side, so that we'll have:

√x = 12 - 4

Then, just simply perform the indicated operation in the right side of the equation and we'll get:

√x = 8

Now, square both sides:

(√x)^2 = (8)^2

Thenn we'll have:

x = 64

Therefore, the unknown number is 64.