Question

Simplify
√45 - 3√20 + 4√5​

Answer 1

$\huge{\bigstar}}$$\huge{\boxed{\red{\mathfrak{Answer}}}}$$\huge{\bigstar}}$

_________________________

→ 3√5 - 6√5 + 4√5

→ √5 ( 3 - 6 + 4 )

→ √5 ( 1 )

→ √5

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

$\sf{ \sqrt{45} - 3 \sqrt{20} + 4 \sqrt{5} }$

$\sf{ = \sqrt{9 \times 5} - 3 \sqrt{4 \times 5} + 4 \sqrt{5} }$

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

$\sf{ = (3 - 6 + 4) \sqrt{5} }$

$\sf{ = \sqrt{5} } \: \: \: \: \bf{Ans.}$