Question

28. Find the square root of 1,024 using prime factorisation.​

Answer 1

Answer:

1024÷2=512

512÷2=256

256÷2=128

128÷2=64

64÷2=32

32÷2=16

16÷2=8

8÷2=4

4÷2=2

2÷2=1

1024=2

10

1024

=

2

10

=2

5

=32

Answer 2

square root of 1024 =32

Step-by-step explanation:

1024 = 2×2×2×2×2×2×2×2×2×2

$\sqrt{1024} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }$

$\sqrt{1024 } = \sqrt{2 ^{2} \times 2 { }^{2} \times 2 { }^{2} \times 2 { }^{2} \times 2 {}^{2} }$

$\sqrt{1024 } = 2 \times 2 \times 2 \times 2 \times 2$

$\sqrt{1024} = 32$