Question

a2+1/a2=62 find a+1/a​

Answer 1

Answer:

$given \: {a}^{2} + \frac{1}{ {a}^{2} } = 62 \\ (a + \frac{1}{a} ) {}^{2} = {a }^{2} + \frac{1}{{a}^{2} } + 2 \times a \times \frac{1}{a} = 62 + 2 = 64 \\ a + \frac{1}{a} = \sqrt{64 } = 8$

Answer 2

Answer:

$(x+y)^{2}=x^{2} +y^{2} +2xy$

$x=a$

$y=\frac{1}{a}$

$(a+\frac{1}{a})^{2}=a^{2} +\frac{1}{a^{2} }+2\times a\times \frac{1}{a}$

$(a+\frac{1}{a} )^{2}=62+2$

$(a+\frac{1}{a} )^{2}= 64$

$(a+\frac{1}a})=\sqrt{64}$

$(a+\frac{1}a})=8$