Question

Simplify nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight.

Answer 1

A)
`11√(2) - 5√(7)`

Explanation:

`9√(2)` and
`3√(7)` are already in simplest form. However,
`√(8)` can be further simplified to
`2√(2)`, and
`√(28)` can also be further simplified to
`2√(7)`. Combining like terms (terms with the same radical) gives us a final answer of
`11√(2) - 5√(7)`.

Hope this helped! :)

Answer 2

Answer: 11\sqrt{2} - 5\sqrt{7}

Option (A) is the correct answer.

Explanation:

9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}

Now, \sqrt{8} = \sqrt{2 \times 2 \times 2} = 2\sqrt{2}

\sqrt{28} = \sqrt{2 \times 2 \times 7} = 2\sqrt{7}

∴ 9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}

= 9\sqrt{2} - 3\sqrt{7} + 2\sqrt{2} - 2\sqrt{7}

= 9\sqrt{2} + 2\sqrt{2} - 3\sqrt{7} - 2\sqrt{7}

= 11\sqrt{2} - 5\sqrt{7}

Therefore option (a) is the correct answer.

Explanation: