Question

calculate the value of 4√28 ÷ 3√7

Answer 1

=18.6666666667

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Answer 2

Answer:

$\dfrac{8}{3}$

Step-by-step explanation:

$4\sqrt{28} \div 3\sqrt{7}= \dfrac{4\sqrt{28} }{3\sqrt{7}}$

Rationalise the divisor:

$4\sqrt{28} \div 3\sqrt{7}= \dfrac{4\sqrt{28} \times 3\sqrt{7} }{3\sqrt{7} \times 3\sqrt{7}}$

Combine the terms:

$4\sqrt{28} \div 3\sqrt{7}= \dfrac{12\sqrt{196} }{9 \times 7}$

Evaluate the numerator and denominator:

$4\sqrt{28} \div 3\sqrt{7}= \dfrac{12(14)}{63}$

$4\sqrt{28} \div 3\sqrt{7}= \dfrac{168}{63}$

Simplify:

$4\sqrt{28} \div 3\sqrt{7} = \dfrac{8}{3}$