Question

Add and subtract square roots that need simplification Number 194

Answer 1

Solution.

We are required to simplify

`(1)/(8)√(32)-(1)/(10)√(50)`
`=(1)/(8)\sqrt{16\text{ x 2}}-(1)/(10)\sqrt{25\text{ x 2}}`
`\begin{gathered} =(1)/(8)√(16)\text{ x}√(2)\text{ - }(1)/(10)√(25)\text{ x }√(2) \\ \\ \end{gathered}`
`(1)/(8)(4)√(2)-(1)/(10)(5)√(2)`
`\begin{gathered} =(4√(2))/(8)-(5√(2))/(10) \\ \\ =(√(2))/(2)-(√(2))/(2) \\ =0 \end{gathered}`

The answer is zero (0)