I'm sorry I don't know how to put in the square root sign...I hope you can understand what I'm getting at : )
multiply and simplify radical expression.
square root 7(2square root3 + 3square root7)= ?
sqrt 7*(2 sqrt 3 + 3 sqrt 7
= 2 sqrt 21 + 21
To multiply and simplify the given radical expression, you need to distribute the sqrt(7) to both terms inside the brackets. Here's how you can do it step by step:
1. Start with the expression: sqrt(7)(2 sqrt(3) + 3 sqrt(7))
2. Distribute the sqrt(7) to each term inside the brackets:
(sqrt(7) * 2 sqrt(3)) + (sqrt(7) * 3 sqrt(7))
3. Simplify each term by multiplying the coefficients and combining like terms under the square root symbol:
2 sqrt(7 * 3) + 3 sqrt(7 * 7)
4. Simplify within the square root symbol:
2 sqrt(21) + 3 sqrt(49)
5. Simplify further:
2 sqrt(21) + 3 * 7
6. Finally, simplify the expression:
2 sqrt(21) + 21
Therefore, sqrt(7)(2 sqrt(3) + 3 sqrt(7)) simplifies to 2 sqrt(21) + 21.