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alina1380 [7]
3 years ago
13

Find the product. √5(2+√7) A)2√5+√35 B)√45 C)2√5+2√7 D)√10+√35

Mathematics
2 answers:
OverLord2011 [107]3 years ago
7 0

Answer:

\huge \boxed{2\sqrt{5} +\sqrt{35}}

Step-by-step explanation:

\sqrt{5} (2+\sqrt{7} )

Expand brackets.

\sqrt{5} (2)+\sqrt{5}(\sqrt{7} )

2\sqrt{5} +\sqrt{5} \sqrt{7}

Apply radical rule : \sqrt{a} \sqrt{b} =\sqrt{ab}

2\sqrt{5} +\sqrt{5 \times 7}

2\sqrt{5} +\sqrt{35}

Brrunno [24]3 years ago
4 0

Answer:

<h3>\boxed{ \boxed{ \bold{ \blue{2 \sqrt{5}  +  \sqrt{35} }}}}</h3>

Option A is the correct option.

Step-by-step explanation:

\sf{ \sqrt{5}  \: (2 +  \sqrt{7} )}

Distribute √5 through the parentheses

⇒\sf{ \sqrt{5}  \times 2 +  \sqrt{5}  \times  \sqrt{7} }

Calculate the product

⇒\sf{2 \sqrt{5}  +  \sqrt{5 \times 7} }

⇒\sf{2 \sqrt{5}  +  \sqrt{35} }

Hope I helped!

Best regards!

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