How do you solve 5+sqrt(g-3)=6 and check your solution?

1 Answer
Suren Abreu
Jul 6, 2017

g=4

Explanation:

5+sqrt(g-3)=6

Subtract 5 from each side.

5-5+sqrt(g-3)=6-5

sqrt(g-3)=1

Square both sides.

g-3=1^2

Since the square of 1 is 1:

g-3=1

Add 3 to each side.

g-3+3=1+3

g=4

To check substitute g with 4 in the original equation:

5+sqrt(g-3)=6

5+sqrt(4-3)=6

5+sqrt1=6

The square root of 1 is either +1 or -1. Taking it to be +1:

5+1=6

We can use slightly different steps for the last two steps to confirm the solution:

5+sqrt1=6

Subtract 5 from each side.

5-5+sqrt1=6-5

sqrt1=1

Square both sides. The square of 1 is 1.

1=1

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