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Add and subtract square roots that need simplification Number 223

Add And Subtract Square Roots That Need Simplification Number 223 class=

Sagot :

Given:-

[tex]\frac{5}{6}\sqrt{27}+\frac{5}{8}\sqrt{48}[/tex]

To find the simplified form.

So now we simplify,

[tex]\begin{gathered} \frac{5}{6}\sqrt{27}+\frac{5}{8}\sqrt{48}=\frac{5}{6}\sqrt{9\times3}+\frac{5}{8}\sqrt{16\times3} \\ =\frac{5}{6}\times3\times\sqrt{3}+\frac{5}{8}\times4\times\sqrt{3} \\ =\frac{5}{2}\sqrt{3}+\frac{5}{2}\sqrt{3} \\ =\frac{10}{2}\sqrt{3} \\ =5\sqrt{3} \end{gathered}[/tex]

So the required solution is 5 root 3.