Simplify completely the radical expression sqrt(735) Write your answer as a number a*sqrt(b). What is the sum of a

Question

Simplify completely the radical expression sqrt(735)

Write your answer as a number a*sqrt(b).

What is the sum of a and b?

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Orla Orla 4 years 2021-08-06T22:22:30+00:00 1 Answers 14 views 0

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  1. Euphemia
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    2021-08-06T22:23:47+00:00
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    Answer:

    Simplifying the radical expression \sqrt{735} we get  \mathbf{7\sqrt{15}}

    Write your answer as a number a*sqrt(b)

    \mathbf{7\sqrt{15}}

    What is the sum of a and b?

    We can’t find the sum of a and b.

    Step-by-step explanation:

    We need to simplify completely the radical expression \sqrt{735}

    First we need to find prime factors of 735

    Prime factors of 735 are: 3x5x7x7

    Solving:

    \sqrt{735}\\=\sqrt{3\times 5 \times 7 \times 7} \\=\sqrt{3\times 5 \times 7^2}\\=\sqrt{7^2}\sqrt{3\times 15}\\=7\sqrt{15}

    So, simplifying the radical expression \sqrt{735} we get  \mathbf{7\sqrt{15}}

    Write your answer as a number a*sqrt(b)

    \mathbf{7\sqrt{15}}

    What is the sum of a and b?

    We can’t find the sum of a and b.

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