Question

if a=3+2√2,b=2+√3 then find the value of a+b​

Answer 1

$a + b = 3 + 2 \sqrt{2} + 2 + \sqrt{3} \\ = 5 + 2 \sqrt{2} + \sqrt{3}$

Answer 2

$\bigstar$ Question:

• If a = 3 + 2√2 and b = 2 + √3, then find the value of a + b.

$\bigstar$ Given:

• a = 3 + 2√2
• b = 2 + √3

$\bigstar$To find:

• Find the value of a + b.

$\bigstar$ Solution:

Now,

a = 3 + 2√2

b = 2 + √3

So,

a + b = (3 + 2√2) + (2 + √3)

(Substituting their values)

$\implies$ a + b = 3 + 2√2 + 2 + √3

$\implies$ a + b = 3 + 2 + 2√2 + √3

$\implies$ a + b = 5 + 2√2 + √3

$\because$ we cannot simplify more,

$\therefore$ the answer is 5 + 2√2 + √3.

$\bigstar$Answer:

• So the sum of a and b is 5 + 2√2 + √3.