Understanding Square Roots Flashcards - High School Math

When working in square roots, each component can be treated separately.

$\sqrt{50x^3y^4}=\sqrt{50}\sqrt{x^3}\sqrt{y^4}$

Now, we can simplify each term.

$\sqrt{50}=5\sqrt{2}$

$\sqrt{x^3}=x\sqrt{x}$

$\sqrt{y^4}=y^2$

Combine the simplified terms to find the answer. Anything outside of the square root is combined, while anything under the root is combined under the root.

$(5\sqrt{2})(x\sqrt{x})(y^2)=5xy^2\sqrt{2x}$

Understanding Square Roots - High School Math

Simplify the expression. Find the positive solution only.

$\sqrt{50x^3y^4}$

Understanding Square Roots - High School Math

Simplify the expression. Find the positive solution only.

When working in square roots, each component can be treated separately. Now, we can simplify each term. Combine the simplified terms to find the answer. Anything outside of the square root is combined, while anything under the root is combined under the root.

Simplify the expression. Find the positive solution only.

$\sqrt{50x^3y^4}$