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romanna [79]
3 years ago
8

HELPPP!! ASAP What is the simplified form of the following expression?

Mathematics
2 answers:
-BARSIC- [3]3 years ago
7 0

Answer:

5 sqrt2.

Step-by-step explanation:

5 sqrt 8 - sqrt 18 - 2 sqrt 2

= 5 sqrt(4*2) - sqrt(9*2) - 2 sqrt2

= 5 sqrt4*sqrt 2 - sqrt 9*sqrt 2 - 2 sqrt2

= 10 sqrt2 - 3 sqrt2 - 2 sqrt 2

= 5 sqrt2.

emmainna [20.7K]3 years ago
5 0

Answer:

5\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplify each radical

5\sqrt{8}

= 5\sqrt{4(2)}

= 5 × \sqrt{4} × \sqrt{2}

= 5 × 2 × \sqrt{2} = 10\sqrt{2}

-----------------------------------------------------------

\sqrt{18}

= \sqrt{9(2)}

= \sqrt{9} × \sqrt{2} = 3\sqrt{2}

-----------------------------------------------------------

Putting it all together

10\sqrt{2} - 3\sqrt{2} - 2\sqrt{2}

Collect like terms

= \sqrt{2} (10 - 3 - 2 ) = 5\sqrt{2}

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