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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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

THIS IS THE BEST ANSWER 👇

The whole question is;

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

A) 3√3 + 5√8

B) 2√5 + 5√45

C) √7 + √9

D) 4√2 + 3√6

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

Explanation:

A) Do 3√3 + 5√8;

Let’s get simplified;

3√3 + 5√ (4 × 2)

From this we get;

3√3 + (5 × 2) √2 = 3√3 + 10√2

This is number 2 and not number one. So it cannot be reduced to a single number in standard form.

B) 2√5 + 5√45

Get simplified;

2√5 + 5√ (9 × 5)

This gives;

2√5 + (5 × 3) √5 = 2√5 + 15√5

When the surds are added;

17√5.

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

C) Do √7 + √9

Simplify, obtain;

√7 + 3.

This is number 2 and not number one. So it cannot be reduced to a single number in standard form.

D) 4√2 + 3√6

So it cannot be further simplified because both numbers within the square root are not factors that are perfect squares.

So it is a 2 number and not a single number and cannot be reduced to one number in standard form.