Root Matches

About This Worksheet

This worksheet helps seventh-grade students connect square roots with the whole numbers they represent. Students are given a list of perfect-square roots in one column and a set of whole-number answers in another column. Their job is to find the positive square root of each value and match it to the correct number. This keeps the focus on recognizing familiar perfect squares and their roots. It is a useful follow-up once students already understand what a square root means.

What Students Practice

Students evaluate square roots such as √16, √25, √36, √49, and larger perfect squares. They then match each radical expression with the correct whole-number value from the answer choices. The activity reinforces the inverse relationship between squaring a number and taking its square root. Students also get extra practice reading radical notation and recalling common perfect-square facts. Because the answers are presented separately, they must think through each value instead of simply writing from a pattern.

Why This Matters

Students need to become quick and comfortable with common square roots because these facts show up often in later algebra and geometry. If they know that 12² = 144, then they should also recognize that √144 = 12. That kind of fluency makes more advanced work with radicals much easier. It also helps students check whether an answer is reasonable. This worksheet gives them a simple way to strengthen those connections.

Teaching Tips

Encourage students to say the matching multiplication fact in their heads before choosing an answer. For example, they can think, “What number times itself equals 169?” If they are unsure, have them list nearby perfect squares until they find the match. You can also ask students to write one multiplication fact beside any problem they miss. This helps make the relationship more memorable.

Curriculum Standards

This worksheet provides Grade 7 enrichment and readiness practice for later square-root work. It prepares students for CCSS.MATH.CONTENT.8.NS.A.2, where square roots and irrational numbers are studied more formally. The matching format reinforces perfect-square recognition and radical notation. It works well for independent practice, homework, warm-ups, or review.