Question

3/√8+1/√2 give full solutions ​

Answer 1

Answer:

\frac{3}{\sqrt{8}}+\frac{1}{\sqrt{2}}=\frac{5\sqrt{2}}{4}

Step-by-step explanation:

Simplify the following:

\frac{3}{\sqrt{8}}+\frac{1}{\sqrt{2}}

We know that √8 = 2√2

\implies\frac{3}{2\sqrt{2}}+\frac{1}{\sqrt{2}}

\implies\frac{3}{2\sqrt{2}}+\frac{2}{2\sqrt{2}}

\implies\frac{3+2}{2\sqrt{2}}

\implies\frac{5}{2\sqrt{2}}

Now we rationalize the denominator to further simplify

\implies\frac{5}{2\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}

\implies\frac{5\sqrt{2}}{2\times2}

\implies\frac{5\sqrt{2}}{4}

Therefore,\frac{3}{\sqrt{8}}+\frac{1}{\sqrt{2}}=\frac{5\sqrt{2}}{4}

Answer 2

3/√4*2+1/√2

3/4√2+1/√2

3/4+1(√2+√2)

4/4+2

6/4. ans.