Question

Multiply (sqrt 10 + 2 sqrt 8) (sqrt 10 -2 sqrt 8)

Answer 1

$(\sqrt{10} + 2\sqrt{8})(\sqrt{10} - 2\sqrt{8}) = -22$

Solution:

Given that we have to multiply the given expression

Given is:

$(\sqrt{10} + 2\sqrt{8})(\sqrt{10} - 2\sqrt{8})$

We have to multiply the above expression

Apply the difference of two squares formula

$(a+b)(a-b) = a^2-b^2$

Similarly for,

$(\sqrt{10} + 2\sqrt{8})(\sqrt{10} - 2\sqrt{8})$

We have,

$a = \sqrt{10}\\\\b = 2\sqrt{8}$

Thus the equation becomes,

$(\sqrt{10} + 2\sqrt{8})(\sqrt{10} - 2\sqrt{8}) = (\sqrt{10})^2 - (2\sqrt{8})^2\\\\Simplify\\\\(\sqrt{10} + 2\sqrt{8})(\sqrt{10} - 2\sqrt{8}) =(\sqrt{10} \times \sqrt{10}) - (2\sqrt{8} \times 2\sqrt{8})$

Use the below rule,

$\sqrt{a} \times \sqrt{a} = a$

Therefore, the above equation becomes,

$(\sqrt{10} + 2\sqrt{8})(\sqrt{10} - 2\sqrt{8}) =10 - 4 \times 8\\\\(\sqrt{10} + 2\sqrt{8})(\sqrt{10} - 2\sqrt{8}) = 10 - 32\\\\(\sqrt{10} + 2\sqrt{8})(\sqrt{10} - 2\sqrt{8}) =-22$

Thus upon multiplying the given expression, solution is -22

Answer 2

Answer:

-22

Step-by-step explanation: