Question

Find the product of (3+√2)(5+ √2)​

Answer 1

(3+√2)(5+√2)

Ansawer

15+3√2+5√2+2 ans

Answer 2

Question :

Find the product of (3+√2)(5+ √2)

Formula Applied :

$\sf \small(x + a)(x + b) = {(x)}^{2} + (a + b)x + a \times b$

Where,

• x → √2

• a → 3

• b → 5

Solution :

$\sf \small (3+√2)(5+ √2)$

$\sf \small \rightarrow ({ \sqrt{2} })^{2} + (3 + 5) \sqrt{2} + 3 \times 5$

$\sf \small \rightarrow 2 + 8\sqrt{2} + 15$

$\sf \small \rightarrow17 + 8 \sqrt{2}$

• So the answer is 17 + 8√2