How do you simplify sqrt48+sqrt147?

3 Answers
May 29, 2018

See a solution process below:

Explanation:

First, we can rewrite the terms under the radicals as:

sqrt(16 * 3) + sqrt(49 * 3)

Now, we can use this rule of exponents to do the simplification:

sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))

(sqrt(16) * sqrt(3)) + (sqrt(49) * sqrt(3)) =>

4sqrt(3) + 7sqrt(3) =>

(4 + 7)sqrt(3) =>

11sqrt(3)

May 29, 2018

11sqrt3

Explanation:

sqrt48 +sqrt147

sqrt16*sqrt3 +sqrt49*sqrt3

4sqrt3 +7sqrt3

11sqrt3

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You must find first number which should be a square number.

Like 16 and 49 are square numbers.

May 29, 2018

11sqrt3

Explanation:

sqrt48+sqrt147

sqrt(2*2*2*2*3)+sqrt(3*7*7)

sqrt(2^2*2^2*3)+sqrt(3*7^2)

2*2*sqrt(3)+7*sqrt(3)

4sqrt(3)+7sqrt(3)

11sqrt3