To solve the equation [tex]\( \sqrt{x} = 19 \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Understand the equation: The equation given is [tex]\( \sqrt{x} = 19 \)[/tex].
2. Isolate [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], you'll need to eliminate the square root. The inverse operation of taking the square root is squaring both sides of the equation.
3. Square both sides: Square both sides to undo the square root. This step will help us find [tex]\( x \)[/tex] directly. Therefore, [tex]\( (\sqrt{x})^2 = 19^2 \)[/tex].
4. Simplify the equation: After squaring both sides, the equation becomes [tex]\( x = 19^2 \)[/tex].
5. Calculate the square: Simplify the expression on the right side by calculating [tex]\( 19^2 \)[/tex]. The result is [tex]\( 361 \)[/tex].
Hence, the value of [tex]\( x \)[/tex] is [tex]\( 361 \)[/tex].
