under root 28 into under root 18 into under root75 upon under root 27 into under root 15 into under root 42
Answers
Step-by-step explanation:
Simplify \sqrt{28}
28
to 2\sqrt{7}2
7
.
2\sqrt{7}\sqrt{18}\times \frac{\sqrt{75}}{\sqrt{27}}\sqrt{15}\sqrt{42}
2
7
18
×
27
75
15
42
2 Simplify \sqrt{18}
18
to 3\sqrt{2}3
2
.
2\sqrt{7}\times 3\sqrt{2}\times \frac{\sqrt{75}}{\sqrt{27}}\sqrt{15}\sqrt{42}
2
7
×3
2
×
27
75
15
42
3 Simplify \sqrt{75}
75
to 5\sqrt{3}5
3
.
2\sqrt{7}\times 3\sqrt{2}\times \frac{5\sqrt{3}}{\sqrt{27}}\sqrt{15}\sqrt{42}
2
7
×3
2
×
27
5
3
15
42
4 Simplify \sqrt{27}
27
to 3\sqrt{3}3
3
.
2\sqrt{7}\times 3\sqrt{2}\times \frac{5\sqrt{3}}{3\sqrt{3}}\sqrt{15}\sqrt{42}
2
7
×3
2
×
3
3
5
3
15
42
5 Cancel \sqrt{3}
3
.
2\sqrt{7}\times 3\sqrt{2}\times \frac{5}{3}\sqrt{15}\sqrt{42}
2
7
×3
2
×
3
5
15
42
6 Cancel 33.
2\sqrt{7}\sqrt{2}\times 5\sqrt{15}\sqrt{42}
2
7
2
×5
15
42
7 Simplify.
2\times 5\sqrt{7\times 2\times 15\times 42}
2×5
7×2×15×42
8 Simplify 7\times 27×2 to 1414.
2\times 5\sqrt{14\times 15\times 42}
2×5
14×15×42
9 Simplify 14\times 1514×15 to 210210.
2\times 5\sqrt{210\times 42}
2×5
210×42
10 Simplify 210\times 42210×42 to 88208820.
2\times 5\sqrt{8820}
2×5
8820
11 Simplify \sqrt{8820}
8820
to 42\sqrt{5}42
5
.
2\times 5\times 42\sqrt{5}
2×5×42
5
12 Simplify.
420\sqrt{5}
420
5