Question

Anyone help please I need it

Answer 1

`-10+i√(2)`

Explanation:

One is given the following expression:

`√(4)-√(-98)-√(144)+√(-128)`

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (
`\sqrt{}`) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (
`√(-1)=i`). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

`√(4)-√(-98)-√(144)+√(-128)`

`√(2*2)-√(-1*2*7*7)-√(12*12)+√(-1*2*8*8)`

Take factors from out of under the radical:

`√(2*2)-√(-1*2*7*7)-√(12*12)+√(-1*2*8*8)`

`2-7i√(2)-12+8i√(2)`

Simplify,

`-10+i√(2)`