Question

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

Answer 1

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 : $\sqrt{a} \sqrt{b} =\sqrt{ab}$

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

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

Answer 2

Answer:

$\boxed{ \boxed{ \bold{ \blue{2 \sqrt{5} + \sqrt{35} }}}}$

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!