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
