Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify the expression ((82×82) − (18×18))0.5

Options:

100

20

40

80

Correct Answer:

80

Explanation:

((82×82) − (18×18))0.5

We know that,

a2 - b2 = (a + b) (a – b)

= \(\sqrt {(82 ×82)(18×18)}\)

= \(\sqrt {(82+18)(82-18)}\)

= \(\sqrt {(100)(64)}\)

= \(\sqrt {6400}\) = 80