Question

Determine o valor de x.

$x = \sqrt{21 + \sqrt{13 + \sqrt{7 + \sqrt{4} } } }$
Queria saber como achar o valor de x.​

Answer 1

$x = \sqrt{21 + \sqrt{13 + \sqrt{7 + \sqrt{4} } } }$

$x = \sqrt{21 + \sqrt{13 + \sqrt{7 + 2} } }$

$x = \sqrt{21 + \sqrt{13 + \sqrt{9} } }$

$x = \sqrt{21 + \sqrt{13 + 3} }$

$x = \sqrt{21 + \sqrt{16} }$

$x = \sqrt{21 + 4}$

$x = \sqrt{25}$

$x = 5$

Answer 2

Vai resolvendo as raízes e somando

$x = \sqrt{21 + \sqrt{13 + \sqrt{7 + \sqrt{4} } } }$

$x = \sqrt{21 + \sqrt{13 + \sqrt{7 + 2} } }$

$x = \sqrt{21 + \sqrt{13 + \sqrt{9} } }$

$x = \sqrt{21 + \sqrt{13 + 3} }$

$x = \sqrt{21 + \sqrt{16} }$

$x = \sqrt{21 + 4}$

$x = \sqrt{25}$

$x = 5$