Question

simplify the radical expression.
5. √250h^4k^5

6. √14q x 2√4q




7. √63x^15y^9/7xy^11




8. √3+4√3
5√6
5√3
3√6
3√3




9. 2√6+3√96
14√6
14√96
5√96
50√6



10. (8 +√11 )(8 –√11 )
53
75 + 16√11
–57
64 + √11

Answer 1

\[\sqrt{250h ^{4}k^{5}} = \sqrt{(25)(10)h^{4}k^{5}} = 5h^{2}k^{2}\sqrt{10k}\]

Answer 2

\[\sqrt{14q}. 2 .\sqrt{4q} = 2.\sqrt{(14)(4)q^{2}} = (2)(2)(q)\sqrt{14} = 4q \sqrt{14}\]