Question

Help! Please answer question below:

Answer 1

• √2 + 3√3

-----------------

Multiply both the numerator and denominator by √2 to rationalize the denominator.

• √2(2 + 3√6)/2

Distribute and simplify:

• (2√2 + 3√12)/2 =
• √2 + 3(2√3)/2 =
• √2 + 3√3

Answer 2

`√(2) +3√(3)`

Explanation:

To solve this you have to rationalize the denominator. That is, you have to multiply both numerator and denominator by √2.

Let us do it now.

`\sf (2+3√(6) )/(√(2) ) \\\\\sf (√(2)* (2+3√(6) ))/(√(2) *√(2) )\\\\\sf (2√(2) +3√(6)√(2) )/(√(2*2) )\\\\\sf (2√(2) +3√(12))/(√(4) )\\\\\sf (2√(2) +3*2√(3) )/(2) }\\\\\sf (2√(2) +6√(3) )/(2) }\\\\\sf \frac{2√(2)} {2}+(6√(3) )/(2) \\\\√(2) +3√(3)`