Simplify-6√20+2√45+7√5 show Woking out to prove ans please

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

6 0

Answer:

$\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying the radicals

$\sqrt{20}$ = $\sqrt{4(5)}$ = $\sqrt{4}$ × $\sqrt{5}$ = 2 $\sqrt{5}$

$\sqrt{45}$ = $\sqrt{9(5)}$ = $\sqrt{9}$ × $\sqrt{5}$ = 3 $\sqrt{5}$

Thus

- 6(2 $\sqrt{5}$ ) + 2(3 $\sqrt{5}$ ) + 7 $\sqrt{5}$

= - 12 $\sqrt{5}$ + 6 $\sqrt{5}$ + 7 $\sqrt{5}$

= $\sqrt{5}$

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