Questions: Arithmetic and Algebra Review Introduction to square root multiplication Simplify. sqrt(7) · sqrt(7)

Arithmetic and Algebra Review
Introduction to square root multiplication

Simplify.
sqrt(7) · sqrt(7)
Transcript text: Arithmetic and Algebra Review Introduction to square root multiplication Simplify. \[ \sqrt{7} \cdot \sqrt{7} \] $\square$ $\sqrt{\square}$
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Solution

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Solution Steps

Step 1: Understand the problem

We are asked to simplify the expression \(\sqrt{7} \cdot \sqrt{7}\).

Step 2: Apply the property of square roots

Recall that the product of two square roots with the same radicand (the number under the square root) is equal to the radicand itself. Mathematically, this is expressed as: \[ \sqrt{a} \cdot \sqrt{a} = a \] where \(a\) is a non-negative number.

Step 3: Substitute the values

In this case, \(a = 7\), so: \[ \sqrt{7} \cdot \sqrt{7} = 7 \]

Final Answer

\[ \boxed{7} \]

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