Which of the following can be reduced to a single number in standard form? A. 3?3+5?8 N. 2?5+3?45 C. ?7+?9 D. 4?

Question

Which of the following can be reduced to a single number in standard form?
A. 3?3+5?8
N. 2?5+3?45
C. ?7+?9
D. 4?2+3?6

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Philomena 4 years 2021-07-27T10:07:39+00:00 1 Answers 48 views 0

Answers ( )

  1. kimchi2
    0
    2021-07-27T10:09:38+00:00
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    Complete question is;

    Which of the following can be reduced to a single number in standard form?

    A) 3√3 + 5√8

    B) 2√5 + 5√45

    C) √7 + √9

    D) 4√2 + 3√6

    Answer:

    Only option B) 2√5 + 5√45 can be reduced to a single number

    Explanation:

    A) For 3√3 + 5√8;

    Let’s simplify it to get;

    3√3 + 5√(4 × 2)

    From this, we get;

    3√3 + (5 × 2)√2 = 3√3 + 10√2

    This is 2 numbers and not a single number. Thus it can’t be reduced to a single number in standard form.

    B) 2√5 + 5√45

    Simplifying to get;

    2√5 + 5√(9 × 5)

    This gives;

    2√5 + (5 × 3)√5 = 2√5 + 15√5

    Adding the surds gives;

    17√5.

    This is a single number and thus can be reduced to a single number

    C) For √7 + √9

    Simplifying, to get;

    √7 + 3.

    This is 2 numbers and not a single number. Thus it can’t be reduced to a single number in standard form.

    D) 4√2 + 3√6

    Thus can’t be simplified further because both numbers inside the square root don’t have factors that are perfect squares.

    Thus, it remains 2 numbers and not a single number and can’t be reduced to a single number in standard form.

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