Square roots: exact values and estimation
Recall perfect squares and their square roots, and estimate the square roots of numbers that aren't perfect squares. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Find the square root.
√(16)
Answer: 4
See one solved, step by step
Between which two consecutive whole numbers does sqrt(76) lie?
📘 Worked solution
182 = 64 and 92 = 81Find the perfect squares closest to 76 on each side.
264 < 76 < 8176 sits between those two perfect squares.
3√(76) is between 8 and 9.Since square roots keep the same order as their radicands, sqrt(76) is between sqrt(64) = 8 and sqrt(81) = 9.
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