Question

√-√3+√84+18√3 square root
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Answer 1

Answer:

this is the answer

Step-by-step explanation:

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Answer 2

SOLUTION

TO EVALUATE

$\sf{ \sqrt{ - \sqrt{3} + \sqrt{84 + 18 \sqrt{3} } } }$

EVALUATION

$\sf{ \sqrt{ - \sqrt{3} + \sqrt{84 + 18 \sqrt{3} } } }$

$\sf{ = \sqrt{ - \sqrt{3} + \sqrt{84 + 2 \times 9 \times \sqrt{3} } } }$

$\sf{ = \sqrt{ - \sqrt{3} + \sqrt{81 + 3 + 2 \times 9 \times \sqrt{3} } } }$

$\sf{ = \sqrt{ - \sqrt{3} + \sqrt{ {(9)}^{2} + {( \sqrt{3} )}^{2} + 2 \times 9 \times \sqrt{3} } } }$

$\sf{ = \sqrt{ - \sqrt{3} + \sqrt{ {(9 + \sqrt{3} ) }^{2}} } }$

$\sf{ = \sqrt{ - \sqrt{3} + {(9 + \sqrt{3} ) } } }$

$\sf{ = \sqrt{ - \sqrt{3} + 9 + \sqrt{3} } }$

$\sf{ = \sqrt{ 9 } }$

$\sf{ =3}$

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