Question

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Answer 1

$0.3 \times 100 \\ = 30$

$2.6 \times {10}^{3} + 1.8 \times {10}^{3} \\ = (2.6 + 1.8) \times {10}^{3} \\ = 4.4 \times {10}^{3} \\ = 4400$

$9 \sqrt{24} \div \sqrt{18} \\ = 9 \sqrt{2 \times 2 \times 2 \times 3} \div \sqrt{2 \times 3 \times 3} \\ = 9 \times 2 \sqrt{2 \times 3} \div 3 \sqrt{2} \\ = \frac{18 \times \sqrt{2} \times \sqrt{3}}{3 \times \sqrt{2} } \\ = 6 \sqrt{3}$

$(4 \sqrt{6} - 2 \sqrt{7} )( 4\sqrt{6} + 2 \sqrt{7} ) \\ = {(4 \sqrt{6}) }^{2} - {(2 \sqrt{7}) }^{2} \\ = (4 \times 4 \times \sqrt{6} \times \sqrt{6} ) - (2 \times 2 \times \sqrt{7} \times \sqrt{7} ) \\ = (16 \times 6) - (4 \times 7) \\ = 96 - 28 \\ = 68$

Hope it helps

ray4918 here

Answer 2

Answer:

0.3×100

=30

\begin{gathered}2.6 \times {10}^{3} + 1.8 \times {10}^{3} \\ = (2.6 + 1.8) \times {10}^{3} \\ = 4.4 \times {10}^{3} \\ = 4400\end{gathered}

2.6×10

3

+1.8×10

3

=(2.6+1.8)×10

3

=4.4×10

3

=4400

\begin{gathered}9 \sqrt{24} \div \sqrt{18} \\ = 9 \sqrt{2 \times 2 \times 2 \times 3} \div \sqrt{2 \times 3 \times 3} \\ = 9 \times 2 \sqrt{2 \times 3} \div 3 \sqrt{2} \\ = \frac{18 \times \sqrt{2} \times \sqrt{3}}{3 \times \sqrt{2} } \\ = 6 \sqrt{3} \end{gathered}

9

24

÷

18

=9

2×2×2×3

÷

2×3×3

=9×2

2×3

÷3

2

=

3×

2

18×

2

×

3

=6

3

\begin{gathered}(4 \sqrt{6} - 2 \sqrt{7} )( 4\sqrt{6} + 2 \sqrt{7} ) \\ = {(4 \sqrt{6}) }^{2} - {(2 \sqrt{7}) }^{2} \\ = (4 \times 4 \times \sqrt{6} \times \sqrt{6} ) - (2 \times 2 \times \sqrt{7} \times \sqrt{7} ) \\ = (16 \times 6) - (4 \times 7) \\ = 96 - 28 \\ = 68\end{gathered}

(4

6

−2

7

)(4

6

+2

7

)

=(4

6

)

2

−(2

7

)

2

=(4×4×

6

×

6

)−(2×2×

7

×

7

)

=(16×6)−(4×7)

=96−28

=68

Step-by-step explanation:

hope it helps