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

2 Answers
Jul 22, 2015

#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)#

Sep 22, 2015

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