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rusak2 [61]
2 years ago
10

CAN SOMEONE PLEASE ANSWER THIS SOON! THANK YOU!

Mathematics
2 answers:
lyudmila [28]2 years ago
5 0

We want to find one-half of the reciprocal of 7/sqrt(98). Let's write down an expression for this:

\dfrac{1}{2} \times \dfrac{\sqrt{98}}{7}

We can rewrite 98 into 2 \times 49

\dfrac{1}{2} \times \dfrac{\sqrt{2 \times 49}}{7}

=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times \sqrt{49}}{7}

The square root of 49 is 7

=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times 7}{7}

=\dfrac{1}{2} \times\sqrt{2}

=\dfrac{\sqrt{2}}{2}

This should be your answer. Let me know if you need any clarifications, thanks!

Umnica [9.8K]2 years ago
5 0

Answer:

√2/2

Step-by-step explanation:

Reciprocal of 7/sqrt(98) = sqrt(98)/7 = √98/7

One-half of the reciprocal = 1/2 × √98/7 = √98/14 = 7√2/14 = √2/2

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