celebhairstyle
Calculators
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
celebhairstyle
celebhairstyle
Home
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
MATH SOLVE
Home
General
Simplify the radical 7β7-2β28
4 months ago
Q:
Simplify the radical 7β7-2β28
Accepted Solution
A:
ANSWER[tex]3 \sqrt{7} [/tex]EXPLANATIONThe given radical is [tex]7 \sqrt{7} - 2 \sqrt{28} [/tex]Remove the perfect square from the second radical.[tex] = 7 \sqrt{7} - 2 \sqrt{4 \times 7} [/tex][tex] = 7 \sqrt{7} - 2 \sqrt{4} \times \sqrt{7} [/tex][tex] = 7 \sqrt{7} - 2 \times 2 \times \sqrt{7} [/tex][tex] = 7 \sqrt{7} - 4 \sqrt{7} [/tex]Subtract the like radicals [tex] = 3 \sqrt{7} [/tex]