Question

following:
Simplify the following: -
$\sqrt{45} - \sqrt[3]{20} + \sqrt[4]{5}$
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Answer 1

Step-by-step explanation:

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

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

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

$\sqrt[7]{5} - \sqrt[6]{5}$

$\sqrt{5}$

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

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

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

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

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

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