Multiply, and then simplify if possible. Assume that all variables represent positive real numbers.

(Simplify your answer. Type an exact answer, using radicals as needed.)

Ask by Howell Howell. in the United States

Mar 14,2025

Question

Multiply, and then simplify if possible. Assume that all variables represent positive real numbers.

(Simplify your answer. Type an exact answer, using radicals as needed.)

Ask by Howell Howell. in the United States

Mar 14,2025

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt{13y}(\sqrt{13}-\sqrt{y}) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\sqrt{13y}	imes \left(\sqrt{13}-\sqrt{y}ight)$$
- step1: Distribute $$\sqrt{13y}:$$
  $$\sqrt{13y}	imes \sqrt{13}+\sqrt{13y}	imes \left(-\sqrt{y}ight)$$
- step2: Calculate the product:
  $$13\sqrt{y}-\sqrt{13}	imes y$$
The simplified form of $$ \sqrt{13y}(\sqrt{13}-\sqrt{y}) $$ is $$ 13\sqrt{y}-\sqrt{13}y $$.
$$ 13\sqrt{y} - \sqrt{13}y $$

Multiply, and then simplify if possible. Assume that all variables represent positive real numbers.

(Simplify your answer. Type an exact answer, using radicals as needed.)

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Multiply, and then simplify if possible. Assume that all variables represent positive real numbers. (Simplify your answer. Type an exact answer, using radicals as needed.)

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Multiply, and then simplify if possible. Assume that all variables represent positive real numbers.

(Simplify your answer. Type an exact answer, using radicals as needed.)