Question

If $\frac{2\sqrt{x+4} }{3} =6$ and $x$ is positive, what is the value of $x$?

Answer 1

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→If $\frac{2\sqrt{x+4} }{3} =6$ and $x$ is positive, what is the value of $x$?

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⇒Given:

• $\frac{2\sqrt{x+4}}{3}=6$

⇒To Find:

• Value of x

⇒Solution:

⇒$\frac{2\sqrt{x+4}}{3}=6$

⇒$2\sqrt{x+4}=6\times 3$

⇒$\sqrt{x+4}=\frac{{\cancel{18}}^{\large{9}}}{{\cancel{2}}}$

⇒$x+4=9^2$

⇒$x=81-4$

⇒$\huge{\pink{\overbrace{\underbrace{x=77}}}}$

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