Question

(3+✓4) (4+✓3)

Solve using identities​

Answer 1

${\huge{\underbrace{\mathbb{\purple{Solution}}}}}$

Step-by-step explanation:

$(3 + \sqrt{4} )(4 + \sqrt{3} )$

Using identity

↓

$(a + \sqrt{b} )(c + \sqrt{d} ) = ac + a \sqrt{b} + c \sqrt{b} + \sqrt{bd}$

Here,

a = 3

b = ✓4

c = 4

d = ✓3

$(3 + \sqrt{4} )(4 + \sqrt{3} ) \\ = (3 \times 4) + 3 \sqrt{3} + 4 \sqrt{4} + \sqrt{4 \times 3} \\ = 12 + 3 \sqrt{3} + 4 \sqrt{4} + \sqrt{12}$