Simplify the expression completely. 2sqrt49+sqrt(-64)+sqrt(-36) Answer:

Positive Number Simplification: Simplify the square root of a positive number. We have 2sqrt(49), which is 2 times the square root of 49. The square root of 49 is 7. So, 2sqrt(49) = 2 * 7 = 14.Negative Number Simplification: Simplify the square root of a negative number. We have sqrt(-64), which involves the square root of a negative number. The square root of a negative number is an imaginary number. We can write sqrt(-64) as sqrt(64) * sqrt(-1), which is 8i, where i is the imaginary unit.Another Negative Number Simplification: Simplify another square root of a negative number. Similarly, sqrt(-36) can be written as sqrt(36) * sqrt(-1), which is 6i.Combining Results: Combine the results from the previous steps. Now we combine the results from steps 1, 2, and 3. 14 (from step 1) + 8i (from step 2) + 6i (from step 3) = 14 + (8i + 6i) = 14 + 14i.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify the expression completely.

2sqrt49+sqrt(-64)+sqrt(-36)
Answer:

Simplify the expression completely. $\newline$ $2 \sqrt{49}+\sqrt{-64}+\sqrt{-36}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate rational exponents

Full solution

Q. Simplify the expression completely.

\newline

2 \sqrt{49}+\sqrt{-64}+\sqrt{-36}

\newline

Answer:

Positive Number Simplification: Simplify the square root of a positive number. $\newline$ We have $2\sqrt{49}$ , which is $2$ times the square root of $49$ . The square root of $49$ is $7$ . $\newline$ So, $2\sqrt{49} = 2 \times 7 = 14$ .
Negative Number Simplification: Simplify the square root of a negative number. $\newline$ We have $\sqrt{-64}$ , which involves the square root of a negative number. The square root of a negative number is an imaginary number. We can write $\sqrt{-64}$ as $\sqrt{64} \times \sqrt{-1}$ , which is $8i$ , where $i$ is the imaginary unit.
Another Negative Number Simplification: Simplify another square root of a negative number. Similarly, $\sqrt{-36}$ can be written as $\sqrt{36} \times \sqrt{-1}$ , which is $6i$ .
Combining Results: Combine the results from the previous steps. $\newline$ Now we combine the results from steps $1$ , $2$ , and $3$ . $\newline$ $14$ (from step $1$ ) + $8i$ (from step $2$ ) + $6i$ (from step $3$ ) = $14 + (8i + 6i) = 14 + 14i$ .