Question

Simplify: (5√3 - 2√2 – √32 +√50​

Answer 1

Answer:

Step-by-step explanation:

5√3-2√2-4√2+5√2

5√3-6√2+5√2

5√3-√2

Answer 2

Answer:

$\bold\red{5\sqrt{3}-\sqrt{2}}$

Step-by-step explanation:

Given,

$5 \sqrt{3} - 2 \sqrt{2} - \sqrt{32} + \sqrt{50}$

Simplifying further,

we get,

$= 5 \sqrt{3} - 2 \sqrt{2} - \sqrt{2 \times 2 \times 2 \times 2 \times 2} + \sqrt{2 \times 5 \times 5} \\ \\ = 5 \sqrt{3} - 2 \sqrt{2} - 4 \sqrt{2} + 5 \sqrt{2} \\ \\ = 5 \sqrt{3} - \sqrt{2} (2 + 4 -5) \\ \\ = 5 \sqrt{3} - \sqrt{2}$

Hence,

Value = $\bold{5\sqrt{3}-\sqrt{2}}$