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Simplify the expression. $$-\sqrt{4} \cdot \frac{\sqrt{81}}{\sqrt{36}}$$

Short Answer

Expert verified
-3

Step by step solution

01

Simplify the Square Roots

First, calculate the square root of each component. The square root of 4 is 2, the square root of 81 is 9, and the square root of 36 is 6.
02

Apply the Simplified Square Roots to the Expression

Substitute the simplified square roots back into our original expression. It becomes -2 * (9/6).
03

Perform the Multiplication and Division

Now multiply -2 with 9/6. Simplify the fraction 9/6 to 1.5. Therefore, -2 * 1.5 gives -3 as the simplified value of the given expression.

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