Question

How do you simplify (3) square root of 98 - (4) square root of 28?

Answer 1

`21sqrt(2) -8sqrt(7)`
`color(white)("XXXX")` `color(white)("XXXX")`(Unfortunately it doesn't improve from here)

Explanation:

`3sqrt(98) - 4sqrt(28)`

`color(white)("XXXX")` `=3* sqrt(2xx7xx7) - 4*sqrt(2xx2xx7)`

`color(white)("XXXX")` `=3*7sqrt(2) - 4*2sqrt(7)`

`color(white)("XXXX")` `=21sqrt(2) - 8sqrt(7)`

Answer 2

Using the PEMDAS sequence you first calculate the square roots, then multiply them by the associated number, and finally combine those two numbers for the simplified answer.

Explanation:

PEMDAS is an acronym to remember the priority sequence of calculations.
P = parentheses ( )
E = exponents ^ or **
M = multiplication
D = division
A = addition
S = subtraction