Question

choose the correct answer
simplify √108 +√75-√147
option
a)5√3
b)4√3
c)3√3​

Answer 1

Answer:

b) 4√3 ✔

Step-by-step explanation:

$\sqrt{108} + \sqrt{75} - \sqrt{147} \\ \\ = \sqrt{2 \times 2 \times 3 \times 3 \times 3} + \sqrt{3 \times 5 \times 5} - \sqrt{3 \times 7\times 7} \\ \\ = 6 \sqrt{3} + 5 \sqrt{3} - 7 \sqrt{3} \\ \\ = (6 + 5 - 7) \sqrt{3} \\ \\ { \large{ \pink{= 4 \sqrt{3} }}}$