Simplify the following: 4√28 ÷ 3√7 ÷ ∛7

Solution:

Given, the expression is 4√28 ÷ 3√7 ÷ ∛7

We have to simplify the expression.

4√28  = 4(√7×4)

= 4(2√7)

= 8√7

4√28 ÷ 3√7 = 8√7 / 3√7

= 8/3

\(\sqrt[3]{7}=(7)^{\frac{1}{3}}\)

4√28 ÷ 3√7 ÷ \(\sqrt[3]{7}\) = 8/3  ÷ \((7)^{\frac{1}{3}}\)

= 8/(3\((7)^{\frac{1}{3}}\))

= 8/(3 ∛7)

Therefore, 4√28 ÷ 3√7 ÷ ∛7 = 8/(3 ∛7)

✦ Try This: Simplify the expression: 4√64 ÷ 3√6 ÷ 3√8

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1

NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 9(iv)

Simplify the following: 4√28 ÷ 3√7 ÷ ∛7

Summary:

Irrational numbers are a contradiction of rational numbers. The simplified form of the expression 4√28 ÷ 3√7 ÷ ∛7 is 8/3 ∛7

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