Evaluate after rationalizing the denominator of 25 divided by root 40 - root 18 it being given that root 5 equals to 2.236 and root 10 equals to 3.162 . Please answer ASAP , it's really urgent, please do answer
Answers
Answer:
=>
40
−
80
25
=
2
10
−4
5
25
= > \frac{25}{2( \sqrt{10} - 2 \sqrt{5}) } \times \frac{( \sqrt{10} + 2 \sqrt{5} ) }{( \sqrt{10} + 2 \sqrt{5} )}=>
2(
10
−2
5
)
25
×
(
10
+2
5
)
(
10
+2
5
)
= > \frac{25( \sqrt{10} + 2 \sqrt{5}) }{2( \sqrt{10} - 2 \sqrt{5})( \sqrt{10} + 2 \sqrt{5}) }=>
2(
10
−2
5
)(
10
+2
5
)
25(
10
+2
5
)
= > \frac{25( \sqrt{10} + 2 \sqrt{5}) }{2((10)^{2} - (2 \sqrt{5})^{2} )}=>
2((10)
2
−(2
5
)
2
)
25(
10
+2
5
)
= > \frac{25( \sqrt{10} + 2 \sqrt{5} ) }{2(100 - 20)}=>
2(100−20)
25(
10
+2
5
)
= > \frac{25( \sqrt{10} + 2 \sqrt{5} )}{160}=>
160
25(
10
+2
5
)
= > \frac{5( \sqrt{10} + 2 \sqrt{5}) }{32}=>
32
5(
10
+2
5
)
= > \frac{5(3.162 - 2 \times 2.236)}{32}=>
32
5(3.162−2×2.236)
= > \frac{5 \times 7.634}{32} = \frac{38.17}{32}=>
32
5×7.634
=
32
38.17
⇒ 1.928 ≈ 1.193
Answer:
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