Question

If
a= 4+√15
then
find
value of
a sq + 1 / a sq​

Answer 1

Answer:

The value of $a^{2}+\frac{1}{a^{2}}$ is 62.

Step-by-step explanation:

The value of a is, $a=4+\sqrt{15}$.

Compute the value of $a^{2}+\frac{1}{a^{2}}$ as follows:

$a^{2}+\frac{1}{a^{2}}=(4+\sqrt{15} )^{2}+\frac{1}{(4+\sqrt{15} )^{2}}\\=\frac{(4+\sqrt{15} )^{4}+1}{(4+\sqrt{15} )^{2}} \\=62$

Thus, the value of the expression is 62.

Answer 2

Answer:

62

Step-by-step explanation:

a= 4+√15

1/a= 4 - √15

a + 1/a = 8

a² + 1/a² = 64 -2 = 62