Questions: 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.
\[
\sqrt{7} \cdot \sqrt{7}
\]
$\square$
$\sqrt{\square}$
Solution
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:
\[
\sqrt{7} \cdot \sqrt{7} = 7
\]