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Showing 1 question for Class 8. Tap a card to reveal the answer.
MathematicsSquares and Square RootsmediumFind the square root of 1225 by prime factorisation.
Reveal answer ↓
What it is
A square root asks: which number multiplied by itself gives this number?
Answer
Factorise: 1225 = 5 x 5 x 7 x 7 = 5^2 x 7^2. Pair the equal factors and take one from each pair: sqrt(1225) = 5 x 7 = 35. So the square root of 1225 is 35.
sqrt(a^2 x b^2) = a x b
- •1225 = 5^2 x 7^2
- •Take one factor from each pair
- •sqrt(1225) = 5 x 7 = 35
Why learn this
Square roots power areas, geometry and, later, all of trigonometry.
💡 Memory trick
Prime-factorise, pair them up, take one factor from each pair.