How do you simplify #sqrt(49/16)#? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer H Dev Mar 18, 2018 #\frac{7}{3}# Explanation: #\sqrt{\frac{49}{16}# can also be written as #\frac{\sqrt{49}}{\sqrt{16}}#. So you take the individual square roots of 49 and 16, which are 7 and 4 respectively. Therefore your answer is #\frac{7}{3}#. Answer link Related questions How do you simplify radical expressions? How do you simplify radical expressions with fractions? How do you simplify radical expressions with variables? What are radical expressions? How do you simplify #root{3}{-125}#? How do you write # ""^4sqrt(zw)# as a rational exponent? How do you simplify # ""^5sqrt(96)# How do you write # ""^9sqrt(y^3)# as a rational exponent? How do you simplify #sqrt(75a^12b^3c^5)#? How do you simplify #sqrt(50)-sqrt(2)#? See all questions in Simplification of Radical Expressions Impact of this question 6073 views around the world You can reuse this answer Creative Commons License