1
Question
Simplify 62√3−√6+√6√3−√2−4√2√6−√2
62√3−√6+√6√3−√2−4√2√6−√2
Open in App
Solution
62√3−√6+√6√3−√2−4√2√6−√2
=62√3−√6×2√3+√62√3+√6+√6√3−√2×√3+√2√3+√2−4√2√6−√2×√6+√2√6+√2
=6(2√3+√2.√3)6+√6(√3+√2)1−4√2(√6+√2)4
=√3(2+√2)+√2.√3(√3+√2)−√2(√2.√3+√2)
=2√3+√2.√3+3√2+2√3–2√3−2
=2√3+√2√3+3√2–2
=√3(2+√2)+√2(3−√2)
62√3−√6+√6√3−√2−4√2√6−√2
=62√3−√6×2√3+√62√3+√6+√6√3−√2×√3+√2√3+√2−4√2√6−√2×√6+√2√6+√2
=6(2√3+√2.√3)6+√6(√3+√2)1−4√2(√6+√2)4
=√3(2+√2)+√2.√3(√3+√2)−√2(√2.√3+√2)
=2√3+√2.√3+3√2+2√3–2√3−2
=2√3+√2√3+3√2–2
=√3(2+√2)+√2(3−√2)
Suggest Corrections
2
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
