Question

How do you simplify `sqrt28+sqrt63`?

Answer 1

5`sqrt7`

Explanation:

`sqrt28` + `sqrt63`

Simplify by finding common multipliers:

`sqrt(7*2*2)` + `sqrt(7*3*3)`

Because it's a square root,2 of the same numbers can be taken from the root and put infront of the root

2`sqrt7` +3`sqrt7`

Because the square roots are the same in each number, add the coefficients

5`sqrt7`

Answer 2

`5sqrt7`

Explanation:

`"using the "color(blue)"law of radicals"`

`•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)`

`sqrt28=sqrt(4xx7)=sqrt4xxsqrt7=2sqrt7`

`sqrt63=sqrt(9xx7)=sqrt9xxsqrt7=3sqrt7`

`rArrsqrt28+sqrt63=2sqrt7+3sqrt7-5sqrt7`