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2.2.2 Squares, Square Roots, Cube and Cube Roots, PT3 Focus Practice

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2.2.2 Squares, Square Roots, Cube and Cube Roots, PT3 Focus Practice

Question 6:
Complete the operation steps below by filling in the boxes using suitable numbers.
3√41727÷√1916=3√27÷√2516   =3÷54   =3×45   =


Solution:
3√41727÷√1916=3√12527÷√2516=53÷54=53×45=43


Question 7:
Complete the operation steps below by filling in the boxes using suitable numbers.
(√279−3√2764)2=(√9−3)2=(12)2=

Solution:
(√279−3√2764)2=(√259−34)2=(53−34)2=((5×4)−(3×3)12)2=(1112)2=121144


Question 8:
Complete the operation steps below by filling in the boxes using suitable numbers.
3√16164−0.32=3√64−0.32=4−=

Solution:
3√16164−0.32=3√12564−0.32=54−0.09=1.25−0.09=1.16


Question 9:
Find the value of:
(a)3√1027−5(b)√449×3√−0.216  

Solution:
(a)3√1027−5=3√10−13527=3√−12527=−53

(b)√449×3√−0.216=27×3√2161000=27×6510=635