Question

Slove this also plz​

Answer 1

$\mathsf{Given :\;x = \sqrt{7} + 4}$

$\mathsf{\implies x - 4 = \sqrt{7}}$

$\textsf{Squaring on both sides, We get :}$

$\mathsf{\implies (x - 4)^2 = (\sqrt{7})^2}$

$\bigstar\;\;\boxed{\mathsf{(a + b)^2 = a^2 + 2ab + b^2}}$

$\mathsf{\implies x^2 - 2(4)(x) + (4)^2 = 7}$

$\mathsf{\implies x^2 - 8x + 16 = 7}$

$\mathsf{\implies x^2 - 8x + 10 + 6 = 7}$

$\mathsf{\implies x^2 - 8x + 10 = 7 - 6}$

$\mathsf{\implies x^2 - 8x + 10 = 1}$