What is the simplified form of (sqrt(2)-sqrt(10))/(sqrt(2)+sqrt(10))?

Nathaly Rivers

Nathaly Rivers

Answered question

2022-12-30

What is the simplified form of 2102+10 ?

Answer & Explanation

Collin Johns

Collin Johns

Beginner2022-12-31Added 10 answers

The identity of the square that differs is written as follows:
a2b2=(ab)(a+b)
Therefore, by multiplying both the numerator and the denominator by, we can rationalize the denominator of the given expression. #sqrt(2)-sqrt(10)# as follows:
2102+10=(210)2(210)(2+10)
2102+10=(2)22210+(10)2(2)2(10)2
2102+10=2220+10210
2102+10=1222258
2102+10=12458
2102+10=32+125
Exceplyclene72

Exceplyclene72

Beginner2023-01-01Added 1 answers

Given 2102+10
Let's rationalise the denominator:
=2102+10210210
=(2+10)2(2)2(10)2
=2220+10210
=1222258
=122258
=12458
=6254
=352
=32+125
It seems that none of the options match this.

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