Question

(2 root 8 -3 root 2 )²​

Answer 1

Answer:

2

Step-by-step explanation:

◢Question:-

• (2√8-3√2)²

◢Solution:☈

$(2 \sqrt{8} - 3 \sqrt{2} {)}^{2}$

$\: Since \: (a - b {)}^{2} = {a}^{2} - 2ab + {b}^{2}$

$\longrightarrow \: (8 \sqrt{2} ) ^{2} - 2(2 \sqrt{8} ) (3 \sqrt{2} )+ (3 \sqrt{2} {)}^{2} \\ \\ \longrightarrow \: 4(8) - 12 \sqrt{16} + 9(2) \\ \\ \longrightarrow \: 32 - 12 \sqrt{16} + 18 \\ \\ \longrightarrow \: 50 - 12 \sqrt{16} \\ \\ \longrightarrow \: 50 - 12(4) \: \: \: \: (since \sqrt{16} = 4) \\ \\ \longrightarrow \: 50 - 48 \\ \\ \longrightarrow \: 2 \: Ans.$