Question

Whole root me 12√5+2√55 is equal to plzzzz help it's really urgent I

Answer 1

$\huge{Bonjour!!}$

$\large\green{\mathfrak{Solution:}}$

$\sqrt{12 \sqrt{5} + 2 \sqrt{55} } \\ \\ \sqrt{2 \times 2 \times 3 \sqrt{5} + 2 \sqrt{11} \times \sqrt{5} } \\ \\ \sqrt{( 2\sqrt{5}) (6+ \sqrt{11} )}$

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❤♥✌hope it helps

$\huge\orange{\textbf{NISHANT}}$

Answer 2

$\sqrt{12\sqrt{5} + 2\sqrt{55}} = \sqrt[4]{5} (\sqrt{11} + 1)$

Step-by-step explanation:

$\sqrt{12\sqrt{5} + 2\sqrt{55} } \\ \\\sqrt{\sqrt{5} (12 + 2\sqrt{11} )} \\ \\\sqrt{\sqrt{5} (11 + 1 + 2\sqrt{11} )} \\ \\\sqrt{\sqrt{5} ((\sqrt{11})^{2} + 1^2 + 2\sqrt{11} )} \\\\\sqrt{\sqrt{5} (\sqrt{11} + 1)^{2} } \\ \\\sqrt[4]{5} (\sqrt{11} + 1)$

used a² + b² + 2ab = (a + b)²

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