Question

CAN U PLEAS HELP ME SIMPLIFY THIS AND PLEASE EXPLAIN YOUR REASONING THOROUGHLY BEHIND THIS




$\sqrt{8}+\sqrt{50}$

Answer 1

Answer:

• 7√2

Step-by-step explanation:

Given:

• √8 + √50

We can see that:

• 8 = 4*2 = 2²*2 and
• 50 = 25*2 = 5²*2

Since 2² and 5² are perfect squares we get:

• √8 + √50 =
• 2√2 + 5√2 =
• (2 + 5)√2 =
• 7√2

Answer 2

$\\ \sf\longmapsto \sqrt{8}+\sqrt{50}$

$\\ \sf\longmapsto \sqrt{2(2)(2)}+\sqrt{2(5)(5)}$

$\\ \sf\longmapsto 2\sqrt{2}+5\sqrt{2}$

$\\ \sf\longmapsto (2+5)\sqrt{2}$

$\\ \sf\longmapsto 7\sqrt{2}$