Question

simplify √45-3√20+4√5​

Answer 1

Answer:

$\mathbb{SOLUTION}$

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

$\longrightarrow \: \sqrt{3 \times 3 \times 5 } - \sqrt[3]{2 \times 2 \times 5} + \sqrt[4]{5}$

$\longrightarrow \: \sqrt[3]{5} - \sqrt[3 \times 2]{5} + \sqrt[4]{5}$

$\longrightarrow \: \sqrt[3 - 6 + 4]{ 5 }$

$\longrightarrow \: \sqrt[ - 3 + 4]{5}$

$\longrightarrow \: \sqrt{5}$

Step-by-step explanation:

Hope this helps you.

# By Sparkly Princess

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

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

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

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

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

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