Question

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

Answer 1

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.

Answer 2

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$\sqrt{2}$